Search Results - Multivariable basic hypergeometric functions

Connection coefficients for basic Harish-Chandra series by Stokman, Jasper V.

“…–Baxter and reflection equations. Applications to quantum c-functions, basic hypergeometric functions, reflectionless difference operators and multivariable Baker…”
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q-Derivatives of Multivariable q-Hypergeometric Function with Respect to Their Parameters by Bytev, V. V., Zhang, P.

“…We consider the q-derivatives of the Srivastava and Daoust basic multivariable hypergeometric function with respect to the parameters…”
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q-derivatives of multivariable q-hypergeometric function with respect to their parameters by Bytev, V, Zhang, Pengming

“…We consider the q-derivatives of the Srivastava and Daoust basic multivariable hypergeometric function with respect to the parameters…”
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Some New Integral Formulas Involving the Product of Multivariable Aleph Function, General Class of Srivastava Polynomials, M‐Series, and Hypergeometric Functions by Bhargava, Alok, Sharma, Komal Prasad, Suthar, D. L.

“… With this in mind, this study creates three essential formulas. These formulas include the product of the multivariable Aleph function, the general class…”
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Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series by Lin, Shy-Der, Srivastava, H. M.

“… for multiple hypergeometric and multiple basic (or q-) hypergeometric series. By making use of some reduction formulas for multivariable hypergeometric functions…”
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Multivariable Askey–Wilson function and bispectrality by Geronimo, Jeffrey S., Iliev, Plamen

“…For every positive integer d , we define a meromorphic function F d ( n ; z ), where n , z ∈ℂ d , which is a natural extension of the multivariable Askey…”
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Macdonald Polynomials and Multivariable Basic Hypergeometric Series by Schlosser, Michael J.

“… Motivated by our basic hypergeometric analysis, we propose an extension of Macdonald polynomials to Macdonald symmetric functions indexed by partitions with complex parts…”
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A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application by Alberto Grünbaum, F, Rahman, Mizan

“… of the corresponding transition kernel. Independently of any probabilistic consideration a certain multivariable version of the Gelfand-Aomoto hypergeometric function was considered in papers by H. Mizukawa and H. Tanaka…”
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Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture by Langer, Robin

“… The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable…”
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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

“… -) analogue of multivariable Aleph-function. Similar assertions for the Riemann–Liouville and Weyl fractional q -integral transforms are also presented…”
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Quantum q-series and mock theta functions by Folsom, Amanda, Metacarpa, David

“…Our results investigate mock theta functions and quantum modular forms via quantum q -series identities…”
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Gottlieb Polynomials and Their q-Extensions by ErkuŞ-Duman, Esra, Choi, Junesang

“… are products of the known q-extended multivariable and multiparameter Gottlieb polynomials and another non-vanishing multivariable function…”
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Some multivariable Gaussian hypergeometric extensions of the Preece theorem by Qureshi, M. I., Sadiq Khan, M., Pathan, M. A., Khan, N. U.

“… Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric function and Srivastava's quadruple hypergeometric function F(4…”
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Connection coefficients for basic Harish-Chandra series by Stokman, Jasper V

“… Applications to quantum c-functions, basic hypergeometric functions, reflectionless difference operators and multivariable Baker-Akhiezer functions are discussed…”
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A Whipple’s Transformation for Hypergeometric Series in $U(n)$ and Multivariable Hypergeometric Orthogonal Polynomials by Gustafson, R. A.

“… As a corollary, a Dougall's theorem is obtained for hypergeometric series in $U(n)$. A family of summation theorems for classical ordinary and basic hypergeometric series is also proved…”
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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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Macdonald Polynomials and Multivariable Basic Hypergeometric Series by Schlosser, Michael J

“… Motivated by our basic hypergeometric analysis, we propose an extension of Macdonald polynomials to Macdonald symmetric functions indexed by partitions with complex parts…”
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Multiindex Multivariable Hermite Polynomials by Shrivastava, HSP

“…In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined…”
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Bisymmetric functions, Macdonald polynomials and basic hypergeometric series by Ole Warnaar, S.

“…$ basic hypergeometric series is a bisymmetric function related to Macdonald’s commuting family of q -difference operators, to the $\mathfrak {sl}_3…”
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Hypergeometric and basic hypergeometric series and integrals associated with root systems by Schlosser, Michael J

“…We give an overview of some of the main results from the theories of hypergeometric and basic hypergeometric series and integrals associated with root systems…”
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