Results 41 to 50 of about 12,030,394 (333)

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

Honam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Lee, Dong Myung, Rathie, Arjun K., Parmar, Rakesh K., Kim, Young Sup   +3 more
openaire   +2 more sources

Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions [PDF]

, 2017
In our previous work, we found sufficient conditions to be imposed on the parameters of the generalized hypergeometric function in order that it be completely monotonic or of Stieltjes class.
D. Karp, E. Prilepkina
semanticscholar   +1 more source

Decomposition formulas for some quadruple hypergeometric series

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In the present work, the authors obtained operator identities and decomposition formulas for second order Gauss hypergeometric series of four variables into products containing simpler hypergeometric functions. A Choi–Hasanov method based on the inverse
A.S. Berdyshev, A. Hasanov, A.R. Ryskan
doaj   +1 more source

On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations

Journal of Mathematics, 2022
The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables. The main results are obtained by using the properties of Gamma and beta functions. The novel
Maged G. Bin-Saad, Mohannad J. S. Shahwan, Jihad A. Younis, Hassen Aydi, Mohamed A. Abd El Salam   +4 more
doaj   +1 more source

HYPERDIRE - HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function FC of three variables [PDF]

Computer Physics Communications, 2016
We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations.
V. Bytev, B. Kniehl
semanticscholar   +1 more source

Generating Functions for k-Hypergeometric Functions

International Journal of Applied Physics and Mathematics, 2019
In mathematics, generating functions are important way to transform formal power series into functions and to analyze asymptotic properties of sequences.
Korkmaz-Duzgun Duriye, Erkus-Duman Esra
semanticscholar   +1 more source

On some hypergeometric solutions of the conformal Ward identities of scalar 4-point functions in momentum space [PDF]

Journal of High Energy Physics, 2019
We discuss specific hypergeometric solutions of the conformal Ward identities (CWI’s) of scalar 4-point functions of primary fields in momentum space, in d spacetime dimensions. We determine such solutions using various dual conformal ansätze (DCA’s). We
C. Corianò, Matteo Maria Maglio
semanticscholar   +1 more source

Integral representations for a class of triple confluent hypergeometric functions and their applications in boundary value problems

Қарағанды университетінің хабаршысы. Математика сериясы
Hypergeometric functions are divided into complete and confluent functions. Srivastava and Karlsson were the first to propose a method for constructing the complete set of triple Gaussian hypergeometric series and compiled a table containing definitions
A. Hasanov, T.G. Ergashev, A.R. Ryskan
doaj   +1 more source

Extended Riemann-Liouville type fractional derivative operator with applications

Open Mathematics, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
doaj   +1 more source

Evaluation of certain families of log-cosine integrals using hypergeometric function approach and applications [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we provide the analytical solutions of the families of certain definite integrals: ∫₀^π xᵐ{ln(2cos(x/2)}ⁿ dx (m∈ℕ₀ and n∈ℕ), in terms of multiple hypergeometric functions of Kampe de Feriet having the arguments ±1 and Riemann zeta ...
Mohammad Idris Qureshi, Shakir Hussain Malik   +1 more
doaj   +1 more source