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1172 articles for “R-series”
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Fractional Calculus of the R-Series
Abstract: The present paper creates a special function called as R-series. This is a special case of H-function given by Inayat Hussain. The Hypergeometric function, Mainardi function and M-series follow R-series and these functions have recently found essential applications in solving problems in physics, biology, bio-science, engineering and applied science etc. Cite this ArticleMohd. Farman Ali, Manoj Sharma. Fractional calculus of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2016; 3(3): …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 1–5 Read article
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R-L F Integral and Triple Dirichlet Average of the R-Series
Abstract: AbstractIn this article, we establish the relation between some results of triple Dirichlet average of the R-series and fractional operators. We use a new special function called as R-series, which is a special case of H-function given by Inayat Hussain. In this article, the solution is obtained in compact form of triple Dirichlet average of R-series as well as conversion into single Dirichlet average of R-series, using fractional integral. Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 6–12 Read article
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R-L-F Integral and Double Dirichlet Average of the R-Series
Abstract: AbstractThe object of the present paper is to establish a result of double Dirichlet average of the R-series by using Riemann-Liouville fractional integral. The R-series can be measured as a Dirichlet average and connected with fractional calculus. In this paper, the solution comes in compact form of double Dirichlet average of R-series. The special cases of our results are same as earlier obtained by Saxena et al, for double Dirichlet …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 1–6 Read article
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Fractional Integral and Dirichlet Average of the R-Series
Abstract: AbstractThe aim of the present paper is to investigate the results of Dirichlet average of a new special R-Series, using Riemann-Liouville Fractional derivative. The R-Series can be measured as a Dirichlet average and connected with fractional calculus. Keywords: Dirichlet average, R-series, fractional derivative, Fractional calculus operatorsCite this ArticleMohd. Farman Ali. Fractional Integral and Dirichlet Average of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2017; 4(1): 1–4p.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 1–4 Read article
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Fractional q-calculus of the R-Series
Abstract: AbstractIn this present paper we introduce a new special function, called as R-series given by the author. This function is a special case of H-function given by Inayat Hussain. This paper is devoted to fractional q-derivative of special function. To begin with the theorem on term by term q-fractional differentiation has been derived. Fractional q-differentiation of R-series has been obtained. Keywords and Phrases: Fractional integral and derivative operators, Fractional q-derivative, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 5–7 Read article
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Fractional Riemannian Fuzzy C-Means with Time-Series Regularization for Economic Manifold Forecasting
Abstract: A fractional Riemannian fuzzy c-means framework is proposed for uncertain economic forecasting on non-Euclidean data domains. Observations are represented on a Riemannian manifold, cluster centres are intrinsic prototypes, and a latent fuzzy regime signal is regularised by both autoregressive and fractional-memory penalties. The resulting objective couples geometric clustering with time-series consistency, thereby discouraging partitions that are locally plausible but temporally incoherent. Closed-form membership updates, exponential-map centre updates, normal equations for …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 49–55 Read article
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Series Resistor Method for Higher Signal-to-Noise Ratio and High Sensitivity in Superconducting Nanowire Single-Photon Detectors
Abstract: A series resistor method has been presented for higher signal-to-noise and high sensitivity in superconducting nanowire single-photon detectors (SNSPD). This method has given a very high useful data yields exceeding 50% while still maintaining pure single-photon operation and wide dynamic range. The SNSPD signal is roughly proportional to the nanowire width, so narrow nanowire have poor signal-to-noise ratio (SNR) at widths from 4–30 nm and fabrication at these length scales …
Published in Journal of Nanoscience, NanoEngineering & Applications · Vol. 4, Issue 2, 2014 · pp. 1–4 Read article
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Comparative Analysis of Serial and Parallel Robot Mechanisms for Industrial Automation
Abstract: Serial and parallel manipulators represent two major mechanical architectures in industrial automation, each with distinct strengths and trade-offs. This study presents a detailed comparative analysis of serial-chain (open-kinematic) robots and parallel-kinematic manipulators (PKMs) with a focus on industrial automation tasks. It covers kinematics, static accuracy and stiffness, dynamics and actuation requirements, control and calibration burdens, workspace and singularity behaviour, and practical industrial considerations (cost, integration, safety, maintenance). Serial robots, exemplified …
Published in International Journal of Robotics and Automation in Mechanics · Vol. 3, Issue 2, 2025 · pp. 22–26 Read article
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Innovations in Sericulture: A Review of IoT and AI-Based Monitoring Systems
Abstract: Sericulture is a science which deals with the rearing of silkworms and production of silk. In India most of the rural livelihood is sericulture and is the base for financial, social, political, and intellectual advancements and upliftment since. Silk is called the queen of textiles due to its glittering luster, softness, elegance, durability, and tensile properties. There exist several commercial species of silkworms, yet the commonly used one is bombyx …
Published in International Journal of Electrical and Communication Engineering Technology · Vol. 3, Issue 1, 2025 · pp. 14–18 Read article
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Automated Guided Robotic Armed Vehicle (AGRAV)
Abstract: An automated guided vehicle (AGV) with a robotic arm mounted on top is the subject of this paper's prototype. "How to improve material handling in industries while reducing repetitive work and human involvement in pick and place applications" was the issue statement that was kept in mind. The fundamental issue in industries and warehouses where people work to choose and move goods is that their workdays are constrained by human …
Published in Journal of Control & Instrumentation · Vol. 15, Issue 3, 2024 · pp. 9–18 Read article
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Comparative Analysis of Antioxidant and Antimicrobial Properties of Tasar Sericin from Different Ecological Regions of India
Abstract: Sericin is a by-product of the silk industry, has gained attention for its bioactive properties, and ability to scavenge free radicals for protecting cells from oxidative damage, and different climatic conditions may influence the biochemical properties of the sericin. Thus, the present study aims to evaluate the antioxidant and antimicrobial properties of tasar sericin extracted from silkworms reared in diverse ecological regions of India. South Bihar, Jharkhand, Chhattisgarh, and Odisha …
Published in Research and Reviews : A Journal of Life Sciences · Vol. 15, Issue 1, 2025 · pp. 70–76 Read article
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MATLAB Simulation of Partial Power Converter with Dual- Mode Inverter for Solar Conversion
Abstract: The growing insertion of solar photovoltaic (PV) systems in the modern power systems requires high-efficiency, compact and reliable power conversion solutions. The traditional PV conversion system generally uses full-power processed DC-DC converters followed by inverters, which increases conduction and switching power losses, especially at higher power ratings. To overcome these challenges, this paper proposes a partial power processed resonant converter with a dual-mode transformer-less inverter for efficient solar PV power …
Published in Trends in Electrical Engineering · Vol. 16, Issue 2, 2025 · pp. 33–43 Read article
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In vivo Modulatory Effect of Clerodendrum Splendens (Glory Blossom) in Aluminum Induced Alzheimer Diseases and Lonchocarpus Sericeus in Rotenone Induced Parkinson’s Disease on Na+/K+ Atpase (Sodium Pump) in the Cerebral Tissues of Male Albino Wister Rats
Abstract: Elegant research has shown that plants are useful for both curative and preventive purpose on the humans populous. Prevalent among diseases associated with humans are neurological diseases which affect a large sector of the population especially the elderly. The most common neurological diseases are Parkinson and Alzheimer disease which affect a large sector of the brain and also cause an imbalance in brain electrolyte. Among such electrolytic mechanisms of the …
Published in International Journal of Biochemistry and Biomolecule Research · Vol. 1, Issue 2, 2023 · pp. 31–36 Read article
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Double Papillary Flap – A Treatment for Gingival Recession: Case Series
Abstract: Esthetic concerns of the patients have become an essential part of dentistry, especially periodontics. Periodontal plastic surgery is a rapidly emerging field, which helps us to meet this criterion. Marginal tissue recession can cause the major functional and esthetic problems. It has been clinically related to higher incidence of root caries, attachment loss, root sensitivity and smile related concerns. Root coverage is being achieved by a variety of techniques namely …
Published in Research and Reviews: A Journal of Dentistry · Vol. 4, Issue 3, 2013 · pp. 6–12 Read article
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Complex Tuberculous Meningitis: A Case Series Highlighting Rare Co-infections and Severe Complications
Abstract: This case series presents two complex cases of tuberculous meningitis (TBM) with different complications, illustrating the diverse clinical presentations and management challenges of this disease. Case 1 involves an 18-year-old female with TBM complicated by cryptococcal co-infection, while Case 2 describes a 64-year-old female with TBM complicated by obstructive hydrocephalus and secondary bacterial infections. Both patients had been on anti-tubercular therapy before presentation. Diagnostic approaches included cerebrospinal fluid analysis, cultures, …
Published in International Journal of Pathogens · Vol. 1, Issue 2, 2024 · pp. 1–7 Read article
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Flow Reversal and Pressure pulsation: Innovative technique to enhance flux in Nanofiltration
Abstract: Reduction in Permeate flux with the period of time is the major drawback for the Pressure-driven membrane processes. Concentration polarization and membrane fouling are the two major limitations for the Pressure-driven membrane filtration processes. They lead to the severe flux decline and that need to be controlled for the better process efficiency. The resistance determination provides basis for selection of membrane and appropriate pressure –driven separation process. This paper outlines …
Published in Emerging Trends in Chemical Engineering · Vol. 6, Issue 3, 2019 · pp. 1–7 Read article
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Simulation and Analysis of Sub Synchronous Resonance in a Series Compensated Transmission System
Abstract: Series compensation of a transmission line is necessary as it increases the power transfer capability of a transmission line. Employing series compensation also leads to phenomenon of sub synchronous resonance (ssr) wherein the electrical and mechanical natural frequencies match and exchange energy leading to excitation of natural torsional modes of the turbine generator unit. This leads to mechanical fatigue of the shaft on which turbine and generator are connected. This …
Published in Journal of Power Electronics and Power Systems · Vol. 5, Issue 3, 2015 · pp. 87–96 Read article
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Power Spectral Study of Heart Rate Variability Time Series by the Adaptive Modified Continuous Morlet Wavelet Transform
Abstract: In this paper, a newly developed method referred as adaptive modified continuous Morlet wavelet transform has been proposed to improve the energy concentration in the time-frequency domain. The improvement is achieved by introducing the shape parameter to the Morlet function that is known as modified Morlet function. To make it adaptive, the modified Morlet function was optimized by concentration measure based on automatic determination algorithm. The proposed method was validated …
Published in Research and Reviews : A Journal of Medical Science and Technology · Vol. 6, Issue 2, 2017 · pp. 5–20 Read article
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Stock Price Movement Prediction using Machine Learning Algorithms and Time Series Models: A Review
Abstract: The stock market is a very important place for investment in a country. It also serves as the index of the growth for an economy. To determine the behavior of the stock market trends has been the focal point of researchers for very long. The nonlinear structure of the stock market makes it challenging to predict how the stock price will change. But it has been demonstrated that stock market …
Published in Journal of Operating Systems Development & Trends · Vol. 9, Issue 2, 2022 · pp. 7–13 Read article
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Effective Homoeopathic Management of Allergic Rhinitis: A Case Series Utilizing Hepar Sulph 30 and Histamine 30 with Dietary Modifications
Abstract: Background: Allergic rhinitis (AR), means our immune system intruded by some allergens which is typically a harmless substance. These allergens are found in the air we breathe, in the food we eat, in the water and fluids we drink. These allergens are attacking on our immune system and the immune system responds to the allergens by releasing histamine and chemical mediators that cause symptoms in the nose, throat, eyes, ears, …
Published in Research & Reviews : A Journal of Unani, Siddha and Homeopathy · Vol. 11, Issue 2, 2024 · pp. 12–16 Read article