Search Results - Other hypergeometric functions and integrals in several variables

On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation by Luo, Zhuangchu, Chen, Hua, Zhang, Changgui

“…This paper is devoted to the family {Gn} of hypergeometric series of any finite number of variables, the coefficients being the square of the multinomial coefficients (ℓ1+⋯+ℓn)!/(ℓ1!…ℓn!), where n∈Z⩾1…”
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Integral transformations of hypergeometric functions with several variables by Oshima, Toshio

“… functions with several variables…”
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Dirichlet Averages of Generalized Mittag-Leffler Type Function by Kumar, Dinesh, Ram, Jeta, Choi, Junesang

“…Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the…”
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Two New Degenerate Hypergeometric Functions of Several Variables and Integral Equations Containing These Functions by Khudozhnikov, V. I.

“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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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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CONFLUENT HYPERGEOMETRIC FUNCTIONS OF MANY VARIABLES AND THEIR APPLICATION TO THE FINDING OF FUNDAMENTAL SOLUTIONS OF THE GENERALIZED HELMHOLTZ EQUATION WITH SINGULAR COEFFICIENTS by URINOV, Ahmadzhon Kushakovich, ERGASHEV, Tuhtasin Gulamzhanovich

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On Jacobi Polynomials Of Several Variables by Shrivastava, H.S.P.

“… Their integral representations, generating functions are obtained. Sokme relationships are established and finally Ultraspherical polynomials, Gegenbauer polynomials…”
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A New Generalization of Pochhammer Symbol and Its Applications by Şahin, Recep, Yağcı, Oğuz

“… . Using the generalization of Pochhammer symbol, we give a generalization of the extended hypergeo-metric functions one or several variables…”
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Fractional Calculus Operators and the Mittag-Leffler Function

“… Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are of particular interest…”
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Closed-forms of integral transforms in terms of generalized lauricella hypergeometric series: Closed-forms of integral transforms in terms by Belafhal, A., Khannous, F., Usman, T.

“…Several closed-forms of integral transforms employing special functions with the weight e - p ρ 2 + 2 q ρ 2 γ…”
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On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation by Luo, Zhuangchu, Chen, Hua, Zhang, Changgui

“…This paper is devoted to the family \(\{G_n\}\) of hypergeometric series of any finite number of variables, the coefficients being the square of the multinomial…”
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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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Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications by Cao, Jian, Zhou, Hong-Li, Arjika, Sama

“… ) . Several q -identities such as: generating functions, Andrews–Askey integrals and U ( n + 1 ) type q -binomial formulas for generalized q -polynomials are derived by the method…”
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Horn's hypergeometric functions with three variables by Bezrodnykh, S. I.

“…The work is devoted to obtaining explicit formulas for analytic continuation of quite general hypergeometric series depending on three variables and belonging to the Horn class…”
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A guidebook to recent mathematica implementations of Feynman integral and hypergeometric function theory and related topics by Ananthanarayan, Balasubramanian, Bera, Souvik

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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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On certain q-hypergeometric matrix functions of several variables and their matrix q-difference equations by Dwivedi, Ravi, Sahai, Vivek

“…We introduce q-Lauricella matrix functions of three and n-variables. The convergence of these matrix functions is examined for both and…”
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Note on the Hurwitz–Lerch Zeta Function of Two Variables by Choi, Junesang, Şahin, Recep, Yağcı, Oğuz, Kim, Dojin

“… In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz…”
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The Neumann Problem for a Multidimensional Elliptic Equation with Several Singular Coefficients in an Infinite Domain by Ergashev, T. G., Tulakova, Z. R.

“… a differentiation formula, some adjacent and limiting relations for the Lauricella hypergeometric functions and the values…”
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Moments of Random Matrices and Hypergeometric Orthogonal Polynomials by Cunden, Fabio Deelan, Mezzadri, Francesco, O’Connell, Neil, Simm, Nick

“… Specifically, we consider moments E Tr X n - s as a function of the complex variable s ∈ C , whose analytic structure we describe completely…”
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