Results 81 to 90 of about 3,871 (189)

A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
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Value of Generalized Hypergeometric Function at Unity [PDF]

, 1997
Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $Γ$-functions.
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Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions

Mathematics
A sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of ...
Tariq Al-Hawary, Basem Frasin, Ibtisam Aldawish   +2 more
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Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients

Advances in High Energy Physics, 2018
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan, T. A. Shahverdyan, A. M. Ishkhanyan   +2 more
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On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

Mathematics
In this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
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Development of parallel computing algorithms for special mathematical functions in fractional calculus: Implementation with GPU and CUDA

Results in Engineering
This work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage, Vishwesh A. Vyawahare, Mukesh D. Patil   +2 more
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Integration of Hypergeometric Superhyperbolic Functions Using Generalized Hypergeometric Function and Its Applications

The Nepali Mathematical Sciences Report
In this article , we explore the properties and relations of the hypergeometric superhyberbolic functions in terms of generalized hypergeometric functions. Then we express the hypergeometric superhyberbolic functions with the help of hypergeometric functions to obtain an integral representation related to classical results within the theory of ...
Pandel, Resham Prasad, Pahari, Narayan Prasad, Basnet, Ganesh Bahadur   +2 more
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n-point functions in conformal quantum mechanics: a momentum space odyssey

Journal of High Energy Physics
In this paper, we study the implications of conformal invariance in momentum space for correlation functions in quantum mechanics. We find that three point functions of arbitrary operators can be written in terms of the 2 F 1 hypergeometric function.
Dhruva K.S., Deep Mazumdar, Shivang Yadav   +2 more
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Integral Transforms for the New Generalized Beta Function

Journal of New Theory, 2019
In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Ahmed Ali Al-gonah, Waleed Khadher Mohammed   +1 more
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ALGEBRAIC FUNCTIONS IN TERMS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS

, 2018
The aim of this thesis is to describe the solutions of a given general trinomialalgebraic equation satisfying some special conditions by means of generalized hypergeometricfunctions.Including the introduction, this dissertation consists of five chapters. Inthe first chapter, the gamma function and the beta function are introduced.
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