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186 articles for “special functions.”
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Integral of Generalized M-Function Involving Product of Special Functions
Abstract: AbstractIn this paper, an attempt to be made for study about integrals of generalized M-Function multiplied with Jacobi polynomial.Keywords: Generalized Mittag-Leffler function, Generalized M-Function.Cite this ArticleLaxmi Morya, Manoj Sharma, Rajshree Mishra. Integral of Generalized M-Function Involving Product of Special Functions. Research & Reviews: Discrete Mathematical Structures. 2017; 4(2): 33–36p.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 33–36 Read article
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Fractional q-Derivative and N2 Function
Abstract: AbstractThe study of fractional q-calculus in this paper serves as a bridge between the fractional q-calculus in the literature and the fractional q-calculus of Special Functions. This paper is devoted to fractional q-derivative of special functions. Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, physics, or other applications in engineering .To begin with the theorem on …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 41–43 Read article
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On the Fractional Calculus Operators and DefiniteResults Including N2-Function
Abstract: In this present paper, fractional Riemann-Liouville calculus operators of a new special function called N2-function is introduced given by author has been obtained. This function is a modified form of Mittag-Leffler function [1]. The author drives the results between N2-function and fractional operators. Cite this Article:Mohd. Farman Ali, Manoj Sharma, Renu Jain. On the Fractional Calculus Operators and Definite Results Including N2-Function. Research & Reviews: Discrete Mathematical Structures. 2015; 2(2): …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 2, 2015 · pp. 5–9 Read article
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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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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 Free Electron Laser Equation and K-Function
Abstract: AbstractIn this era, fractional free electron laser (FEL) equations are studied due to their utility and importance in mathematical physics and engineering. The aim of present paper is to find the solution of generalized fractional order free electron laser (FEL) equation, using K-function. The results obtained here are moderately universal in nature. Special cases, relating to the exponential function are also considered. The special functions were introduced in 18th century …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 17–20 Read article
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Fractional q-Derivative and Generalized N2 Function
Abstract: AbstractThis paper is devoted to fractional q-derivative of special functions. To begin with the theorem on term by term q-fractional differentiation has been derived. The result is an extension of an earlier result due to Yadav and Purohit and Sharma, Jain and Ali. As a special case, of fractional q-differentiation of N2 Function has been obtained.Keywords: Fractional integral and derivative operators, Fractional q-derivative, N2 Function and Special functionsMathematics Subject Classification: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 38–40 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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FRACTIONAL q-DERIVATIVE AND GENERALIZED K-FUNCTION
Abstract: AbstractThis investigation is basically intended to fractional q-derivative of special functions. In this article we drive the results on term by term q-fractional differentiation of a generalized k-Series. As particular case we will obtain the fractional q-differentiation of the power series and exponential series. To start with the theorem on term by term q-fractional differentiation has been derived. The result is an extension of an earlier result due to Yadav …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 6–9 Read article
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INTEGRAL REPRESENTATION OF K-FUNCTION
Abstract: Abstract: In this article, an attempt to be made to introduce the four-different integral representation of Extended K-function and special cases have also been discussed [1, 2]. The Extended K Function which is introduced by the authors first time in this work is extended version of earlier K-Function of Sharma [3]. We will use Riemann-Liouville fractional calculus operator in finding the integral representation of this extended K- Function. Fractional Calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 81–88 Read article
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Dirichlet Average of Generalization of K4: Function and Fractional Derivative
Abstract: In this paper Dirichlet average of a new Special function called as generalization of K4 – function, which is recently given by Ahmad Faraj , Tariq Salim , Safaa Sadek, Jamal Ismail has been obtained. This function is an extension of R- function which is introduced by Lorenzo and Hartly (1999). This is the modification of K4 – function given by Kishan Sharma and these functions have recently found essential …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 1, 2015 · pp. 20–23 Read article
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Landmine Detection Robot with Live Surveillance
Abstract: Abstract Nowadays in war-torn communities around the world, landmines are causing immense civilian casualties. A land mine is an explosive device, which is meant to destroy or disable enemy and buried under or on the ground, especially in the mined countries like Afghanistan and Iraq. Accordingly, the majority of land mines are located under the ground surface and are triggered by pressure or tripwire. Mostly the surface of the landmines …
Published in Journal of Remote Sensing & GIS · Vol. 15, Issue 1, 2024 · pp. 28–35 Read article
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Potential Risk and Benefits in Developing New Nanobot Technologies and Future Posibilities
Abstract: The development of new nanobot technologies has the potential to revolutionize various fields, including medicine, manufacturing, and environmental science. However, as with any emerging technology, there are potential risks and benefits associated with nanobots. This abstract explores the potential risks, including toxicity, unintended consequences, and environmental impact, as well as the potential benefits, such as targeted drug delivery, diagnostic imaging, and tissue engineering. We also discuss the future possibilities of …
Published in Research and Reviews: A Journal of Pharmaceutical Science · Vol. 16, Issue 1, 2025 · pp. 87–93 Read article
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Integrated Missed Call Alert Server Implementation
Abstract: For an organization with its own private branch exchange, the users may be sometimes out of the coverage area or the mobile device may be switched off. No user must miss information while he is away from the network. Hence the paper aims at installation and configuration of Missed call alert Server (MCA), which helps in improving call efficiency. The notification of the missed calls including the details in the …
Published in Journal of Telecommunication, Switching Systems and Networks · Vol. 8, Issue 2, 2021 · pp. 12–26 Read article
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Awareness, Attitude and Perceptions towards Stem Cells in Hearing Sciences among Audiologist: Survey across Delhi (NCR)
Abstract: Introduction: Many management approaches for hearing impairment has been developed and the most recent approach is the stem cell therapy. Stem cells have the potential to give rise to differentiated cells with specialized functions as they are capable of perpetuating themselves through cell division. There are several evidential studies that support stem cell regeneration for hearing loss. As audiologists are one of the main pillars in the field of hearing …
Published in Research and Reviews: A Journal of Health Professions · Vol. 8, Issue 3, 2018 · pp. 7–16 Read article
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Production and Analysis of Alternative of Dairy Milk and its By-product
Abstract: Plant-based or non-dairy milk alternative is the fast-growing segment in newer food product development category of functional and specialty beverage across the globe. Nowadays, cow milk allergy, lactose intolerance, concern about calorie, and hypercholesterolemia inclination towards vegan diets has influenced a segment of consumers towards choosing dairy milk alternatives. Plant-based milk alternative can serve as an inexpensive alternative to consumers especially in the developing countries and in places where dairy …
Published in Research and Reviews : Journal of Dairy Science and Technology · Vol. 10, Issue 2, 2021 · pp. 27–41 Read article
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The Dental Pulp: Vital Core of Tooth Functionality
Abstract: Dental pulp, an intricately specialized mesenchymal tissue, possesses limited regenerative capabilities attributable to the unique anatomical arrangement and the post-mitotic nature of odontoblastic cells. The process of complete pulp amputation, subsequent disinfection of the pulp space, and the insertion of synthetic materials results in the substantial loss of dentin, leading to enduring consequences such as a non-vital and structurally weakened tooth.Nevertheless, a beacon of hope emerges in the form of …
Published in Research and Reviews: A Journal of Dentistry · Vol. 15, Issue 1, 2024 Read article
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A Study on Computer Vision: Techniques, Algorithms and Application
Abstract: This study gives a brief explanation or idea about what computer vision is and how it is implemented. Computer vision has so many different applications which are being used and are also under development for future enhancements. All this information can be found here in this research work. Computer vision is a branch of computer science that aimed at developing digital system, which is capable of processing, analysing, and comprehending …
Published in Journal of Computer Technology & Applications · Vol. 13, Issue 1, 2022 · pp. 1–8 Read article
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Amaranth: A Potential Health Promoting and Nutritive Pseudocereal
Abstract: Amaranth is considered nowadays as a super crop because of its high nutraceutical value and as super food as it is gluten free, rich in protein, has a balanced content of essential amino acids, and contains significant amounts of calcium, dietary fiber, omega-3, and omega-6. Amaranth grains have wide range of biological functions viz. anti-allergic, antihypertensive, antioxidant, cancer preventing properties, anti-proliferative and ACE-inhibiting activity. Amaranth seeds can be cooked, popped, …
Published in Research and Reviews : Journal of Dairy Science and Technology · Vol. 9, Issue 2-3, 2020 · pp. 32–43 Read article
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Design and Simulation of Low-power, High-speed Effective Area Mux Based One-bit Full Adder Using CMOS Technology
Abstract: Our findings reveal a novel kind of circuit capable of performing both XOR and XNOR operations in parallel. Power dissipation and delay are both greatly reduced in the proposed circuits due to their low output capacitance as well as minimal short-circuit power dissipation. We show six new hybrid 1-bit full-adder (FA) circuits that take use of the XOR-XNOR or XOR/XNOR gates' special full-swing function. Each potential circuit layout has both …
Published in International Journal of VLSI Circuit Design & Technology · Vol. 1, Issue 1, 2023 · pp. 25–33 Read article