Search Results - Other basic hypergeometric functions AND integrals in several variables

Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations by Younis, Jihad, Bin-Saad, Maged, Verma, Ashish

“…Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate…”
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On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations by Bin-Saad, Maged G., Shahwan, Mohannad J. S., Younis, Jihad A., Aydi, Hassen, Abd El Salam, Mohamed A.

“…The present paper establishes several new integral representations of the Euler type and Laplace type for some Gauss hypergeometric functions of three variables…”
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A Survey of Some Recent Developments on Higher Transcendental Functions of Analytic Number Theory and Applied Mathematics by Srivastava, Hari Mohan

“…Often referred to as special functions or mathematical functions, the origin of many members of the remarkably vast family of higher transcendental functions can be traced back to such widespread areas as (for example…”
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On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations by Dwivedi, Ravi, Sahai, Vivek

“… cases. The systems of matrix q-difference equations satisfied by these q-Lauricella matrix functions as well as basic Srivastava's triple hypergeometric matrix functions have been determined…”
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Gottlieb Polynomials and Their q-Extensions by ErkuŞ-Duman, Esra, Choi, Junesang

“… and Asif’s q-Gottlieb polynomials to highlight certain connections with several other known q-polynomials, and provide its q-integral representation. Furthermore, we conclude this paper by disclosing our future investigation plan…”
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On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions by Luchko, Yuri

“… In the paper, several new kernels of this type are derived by means of the Sonin method in the time domain and using the Laplace integral transform in the frequency domain…”
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Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons by Bezrodnykh, S. I.

“…This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables…”
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Some generalizations of the Apostol–Genocchi polynomials and the Stirling numbers of the second kind by Luo, Qiu-Ming, Srivastava, H.M.

“…–Bernoulli polynomials and the Apostol–Euler polynomials, and derive various explicit series representations in terms of the Gaussian hypergeometric function and the Hurwitz (or generalized) zeta function…”
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On Voigt-Type Functions Extended by Neumann Function in Kernels and Their Bounding Inequalities by Parmar, Rakesh K., Pogány, Tibor K., Sabu, Uthara

“…) and the r positive integer of the initial extensions Vμ,ν(x,y),Wμ,ν(x,y). Several computable series expansions are obtained for the discussed Voigt-type functions in terms of Humbert confluent hypergeometric functions…”
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On Certain Linear, Bilinear and Bilateral Hypergeometric Generating Relations by Mohammad, Chaudhary Wali, Ara, Jahan, Qureshi, M. I.

“… and other polynomials hypergeometric in nature. One variable special cases of generalized polynomials are useful in several applied problems…”
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New Fractional Hermite–Hadamard–Mercer Inequalities for Harmonically Convex Function by Butt, Saad Ihsan, Yousaf, Saba, Asghar, Atifa, Khan, Khuram Ali, Moradi, Hamid Reza

“…–Hadamard inequalities of the Jensen–Mercer type via fractional integrals. As a result, we introduce several related fractional inequalities connected with the right…”
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On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function by Tassaddiq, Asifa, Bhat, Altaf Ahmad, Jain, D. K., Ali, Farhad

“…In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables…”
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Extended elliptic-type integrals with associated properties and Turán-type inequalities by Parmar, Rakesh K., Agarwal, Ritu, Kumar, Naveen, Purohit, S. D.

“…’ hypergeometric function and ( p , q ) -extended Appell’s double hypergeometric function F 1 . Turán-type inequalities including log-convexity properties are proved for these ( p , q…”
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On the q-Analogues of Srivastava’s Triple Hypergeometric Functions by Ernst, Thomas

“… of Srivastava’s three triple hypergeometric functions. The proofs use q-analogues of Picard’s integral formula for the first Appell function, a summation formula for the first Appell function based on the Bayley…”
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Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials by Kaneko, Jyoichi

“…A new class of hypergeometric functions of several variables is introduced by using Jack polynomials and a multivariate generalization of Aomoto's result…”
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Conformal Accelerations Method and Efficient Evaluation of Stable Distributions by Boyarchenko, Svetlana, Levendorskiĭ, Sergei

“…We suggest 3 families of conformal deformations and changes of variables for evaluation of integrals arising in applications of the Fourier analysis to fractional partial differential equations…”
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Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables by Sooppy Nisar, Kottakkaran

“… We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function…”
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Computer Algebra for unified integrals involving a multivariate Mittag-Leffler function by Singh, Prakash, Jain, Shilpi, Agarwal, Praveen

“… In this paper, we presented computer algebra for generalized integral formulas involving a multivariate generalized Mittag-Leffler function…”
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On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function by Kumar, Dinesh, Ayant, Frédéric, Nisar, Kottakkaran Sooppy, Suthar, Daya Lal

“… Several corollaries are also established to strengthen the results. By specializing the various parameters and variables in the basic analogue of multivariable Aleph…”
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A multiple q-exponential differential operational identity by Liu, Zhiguo

“…Using Hartogs’ fundamental theorem for analytic functions in several complex variables and q -partial differential equations, we establish a multiple q -exponential differential formula for analytic functions in several variables…”
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