• Suche: "Basic hypergeometric integrals and functions defined by them"

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1

On the fractional q-integral operators involving q-analogue of Mittag-Leffler function: On the fractional \(q\)-integral operators involving \(q\)-analogue of Mittag-Leffler function
Mulugeta Dawud Ali ; D. L. Suthar
Analysis. 44:245-251

Integral operators Fractional derivatives a... \(q\)-generalized hyperg... Riemann-Liouville fracti... \(q\)-beta function Applications of basic hy... …
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2

q-Selberg Integrals and Macdonald Polynomials: \(q\)-Selberg integrals and Macdonald polynomials
S. Ole Warnaar
The Ramanujan Journal. 10:237-268

\(q\)-gamma functions, \... Selberg integrals symmetric functions 0101 mathematics Basic hypergeometric int... 01 natural sciences …
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3

Expansion formulas for terminating balanced 4F3-series from the Biedenharn–Elliot identity for su(1,1): Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\)
Lievens, Stijn
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Generalized hypergeometr... Applied Mathematics Biedenharn–Elliot identi... Science General Biedenharn-Elliot identi... 01 natural sciences …
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4

A Generalized Hypergeometric Function II. Asymptotics and D 4 Symmetry: A generalized hypergeometric function. II: Asymptotics and \(D_4\) symmetry
S.N.M. Ruijsenaars
Communications in Mathematical Physics. 243:389-412

Basic orthogonal polynom... Askey-Wilson polynomials generalized hypergeometr... Difference equations, sc... 0101 mathematics Basic hypergeometric int... …
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5

Form Factors of $\textit{SU}(N)$ Invariant Thirring Model: Form factors of \(SU(N)\) invariant Thirring model
Yoshihiro Takeyama
Publications of the Research Institute for Mathematical Sciences. 39:59-116

Thirring model High Energy Physics - Th... recurrence relations FOS: Physical sciences Mathematical Physics (ma... 01 natural sciences …
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6

A Product Formula for Jackson Integral Associated with the Root System F 4: A product formula for Jackson integral associated with the root system \(F_4\)
Masahiko Ito
The Ramanujan Journal. 6:279-293

Jackson integral very-well-poised \({}_6\... Askey-Wilson integral root system of type \(F_... 0101 mathematics Basic hypergeometric int... …
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7

On Solutions of the q-Hypergeometric Equation with q N = 1: On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\)
Yoshihiro Takeyama
The Ramanujan Journal. 6:369-378

\(q\)-hypergeometric equ... Basic hypergeometric fun... Mathematics - Classical... Mathematics - Quantum Al... 0103 physical sciences Classical Analysis and O... …
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8

a product formula for jackson integral associated with the root system f4: A product formula for Jackson integral associated with the root system \(F_4\)
Masahiko Ito
Ramanujan Journal. 6(3):279-293

Jackson integral very-well-poised \({}_6\... Askey-Wilson integral root system of type \(F_... Basic hypergeometric int... Basic hypergeometric fun...
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9

symmetry classification for jackson integrals associated with irreducible reduced root systems: Symmetry classification for Jackson integrals associated with irreducible reduced root systems
Masahiko Ito
Compositio Mathematica. 129(3):325-340

Jackson integrals Gustafson's sums van Diejen's \(BC_n\)-su... Aomoto's sums elliptic product formula... Basic hypergeometric int... …
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10

The $q$-twisted Cohomology and the $q$-hypergeometric Function at $|q|=1$: The \(q\)-twisted cohomology and the \(q\)-hypergeometric function at \(|q|=1\)
Yoshihiro Takeyama
Publications of the Research Institute for Mathematical Sciences. 37:71-89

Basic orthogonal polynom... Heine's transformations 01 natural sciences little \(q\)-Jacobi poly... \(q\)-gamma functions, \... \(q\)-hypergeometric fun... …
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11

elliptic selberg integrals: Elliptic Selberg integrals
Van Diejen, J.F. ; Spiridonov, V.P.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
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CONICYT Chile
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ANID
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Agencia Nacional de Investigación y Desarrollo

\(q\)-gamma functions, \... Basic hypergeometric int... Basic orthogonal polynom...
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12

q-Beta Integrals and Multivariate Basic Hypergeometric Series Associated to Root Systems of Type Am: \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)
Medhat A. Rakha ; Robert A. Gustafson
Annals of Combinatorics. 4:347-373

Basic hypergeometric fun... 0101 mathematics Basic hypergeometric int... 01 natural sciences Basic orthogonal polynom... Basic hypergeometric fun...
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13

Stieltjes moments of entire functions of exponential type
F. N. Garif’yanov
Mathematical Notes. 67:572-576

quasi polynomial holomorphic functions Stieltjes moment problem difference equation 0102 computer and inform... 0101 mathematics …
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14

Differential Equations Satisfied by the Components with Respect to the Cyclic Group of Order n of Some Special Functions: Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions
Youssèf Ben Cheikh
Journal of Mathematical Analysis and Applications. 244:483-497

Generalized hypergeometr... Applied Mathematics Linear ordinary differen... 0101 mathematics Basic hypergeometric int... 01 natural sciences …
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15

Transformations for a Class of Hypergeometric Functions: Transformations for a class of hypergeometric functions
S. Mudaliar
Journal of Electromagnetic Waves and Applications. 14:1185-1202

Other hypergeometric fun... Other functions defined... 0101 mathematics Basic hypergeometric int... Gamma, beta and polygamm... 01 natural sciences
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16

On the linearization problem involving Pochhammer symbols and their q-analogues: On the linearization problem involving Pochhammer symbols and their \(q\)-analogues
André Ronveaux ; Renato Alvarez-Nodarse ; Niurka R. Quintero ; et al.
idUS. Depósito de Investigación de la Universidad de Sevilla
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Universidad de Sevilla (US)

Computational Mathematic... Basic orthogonal polynom... \(q\)-Pochhammer symbol \(q\)-calculus and relat... Applied Mathematics Pochhammer and q-Pochham... …
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17

On a Solution of a $q$-Difference Analogue of Laurieella's $D$-Type Hypergeometric Equation with $|q| = 1$: On a solution of a \(q\)-difference analogue of Lauricella's \(D\)-type hypergeometric equation with \(|q|=1\)
Michitomo Nishizawa
Publications of the Research Institute for Mathematical Sciences. 34:277-290

Lauricella's \(D\)-type... Basic hypergeometric fun... 0101 mathematics Basic hypergeometric int... 01 natural sciences
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18

Multivariable BC Type Askey-Wilson Polynomials With Partly Discrete Orthogonality Measure: Multivariable BC type Askey-Wilson polynomials with partly discrete orthogonality measure
Stokman, J.V.
The Ramanujan Journal. 1:275-297

Basic orthogonal polynom... Askey-Wilson polynomials Orthogonal polynomials a... multi-variable orthogonality measure Basic hypergeometric int... …
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19

Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras: Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
V. Tarasov ; Alexander Varchenko
Inventiones mathematicae. 128:501-588

quantum complex Grassman... quantum symmetric space Askey-Wilson polynomials Mathematics - Quantum Al... FOS: Mathematics Quantum Algebra (math.QA... …
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20

Multivariable BC type Askey-Wilson polynomials with partly discrete orthogonality measure
Stokman, J.V.
The Ramanujan Journal. 1:275-297

Basic orthogonal polynom... Askey-Wilson polynomials Orthogonal polynomials a... multi-variable orthogonality measure Basic hypergeometric int... …
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