Treffer 1 - 20 von 83

1

Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions: Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
Milne, Stephen C.
Developments in Mathematics ISBN: 9781441952134

Mathematics - Number The... Other basic hypergeometr... Exact enumeration proble... 0102 computer and inform... 01 natural sciences Elliptic functions and i...
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2

Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series: Some closed-form evaluations of multiple hypergeometric and \(q\)-hypergeometric series
Hari M. Srivastava ; Shy-Der Lin
Acta Applicandae Mathematicae. 86:309-327

multiple hypergeometric... summation formulas Other hypergeometric fun... Classical hypergeometric... Appell, Horn and Laurice... Generalized hypergeometr...
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3

Theta hypergeometric integrals
Vyacheslav P. Spiridonov
St. Petersburg Mathematical Journal. 15:929-968

Other basic hypergeometr... Hypergeometric functions... theta hypergeometric int... 01 natural sciences 33Dxx, 33E20, 39A13 Other hypergeometric fun...
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4

Multivariate basic hypergeometric series associated to root systems of type Am: Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\)
Medhat A. Rakha
Journal of Mathematical Analysis and Applications. 294:181-195

Integral transformations Basic orthogonal polynom... hypergeometric series ve... q-beta integrals Applied Mathematics Other basic hypergeometr...
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5

On a hypergeometric identity of Gelfand, Graev and Retakh: On a hypergeometric identity of Gelfand, Graev and Retakh.
Hjalmar Rosengren ; Christian Krattenthaler
Journal of Computational and Applied Mathematics. 160:147-158

Ramanujan's 1ψ1 summatio... multiple hypergeometric... Generalized hypergeometr... Applied Mathematics Other basic hypergeometr... basic hypergeometric ser...
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6

Algebraic relations for multiple zeta values: Algebraic relations for multiple zeta values.
Zudilin, W. ; Faculty of Science, School of Mathematical and Physical Sciences
Russian Mathematical Surveys. 58:1-29

Irrationality linear independence over... polynomial relations mathematics Multiple Dirichlet serie... Other basic hypergeometr...
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7

The Saalschütz chain reactions and bilateral basic hypergeometric series: The Saalschütz chain reactions and bilateral basic hypergeometric series.
CHU, Wenchang
Constructive Approximation. 18:579-597

multiple basic hypergeom... bilateral \(q\)-hyergeom... Basic hypergeometric fun... \(q\)-calculus and relat... Other basic hypergeometr... Saalschütz chain reactio...
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8

On q-Olivier Functions: On \(q\)-Olivier functions
Helmut Prodinger ; Tuwani A. Tsifhumulo
Annals of Combinatorics. 6:181-194

Combinatorial probabilit... permutations Other basic hypergeometr... Exact enumeration proble... Olivier functions 0102 computer and inform...
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9

Transformation formula for a double Clausenian hypergeometric series, its q-analogue, and its invariance group: Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group
J. Van der Jeugt
Journal of Computational and Applied Mathematics. 139:65-73

summation formulas invariance group Hypergeometric integrals... transformation Applied Mathematics Other basic hypergeometr...
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10

A Simple Proof of an Aomoto-Type Extension of Askey's Last Conjectured Selberg q-Integral: A simple proof of an Aomoto-type extension of Askey's last conjectured Selberg \(q\)-integral
Kevin W. J. Kadell
Journal of Mathematical Analysis and Applications. 261:419-440

Aomoto-type extensions Selberg's integral Applied Mathematics Other basic hypergeometr... Selberg \(q\)-integrals q-transportation theory...
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11

$ \mathscr N$-functions and their relationship with solutions of general hypergeometric systems andGG-systems: \({\mathcal N}\)-functions and their relationships with solutions of general hypergeometric systems and \(GG\)-systems
I M Gel'fand ; Mark Iosifovich Graev
Russian Mathematical Surveys. 56:615-647

Other hypergeometric fun... Other basic hypergeometr... Moduli and deformations... 0101 mathematics 01 natural sciences
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12

The multiple sum formulas for 12j coefficients of SU(2) and uq(2): The triple sum formulas for \(9j\) coefficients of SU(2) and \(\text{u}_q(2)\)
Sigitas Ališauskas
Journal of Mathematical Physics. 43:1547-1568

Quantum Physics Generalized hypergeometr... Other basic hypergeometr... FOS: Physical sciences Quantum groups (quantize... Connections of hypergeom...
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13

Explicit Construction of Multivariate Padé Approximants for a q-Logarithm Function: Explicit construction of multivariate Padé approximants for a \(q\)-logarithm function
Ping Zhou
Journal of Approximation Theory. 103:18-28

Mathematics(all) Numerical Analysis \(q\)-logarithm function multivariate Padé approx... Applied Mathematics functional equations
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14

Some New Applications of Matrix Inversions in A r: Some new applications of matrix inversions in \(A_r\)
Michael J. Schlosser
The Ramanujan Journal. 3:405-461

Other basic hypergeometr... \(q\)-Rothe summations 101002 Analysis 101012 Combinatorics 0102 computer and inform... \(q\)-Abel summations
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15

Dn Basic Hypergeometric Series: \(D_n\) basic hypergeometric series
Gaurav Bhatnagar
The Ramanujan Journal. 3:175-203

multiple basic hypergeom... Combinatorial aspects of... Basic hypergeometric fun... Other basic hypergeometr... Rogers-Selberg function 0101 mathematics
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16

A new multidimensional matrix inverse with applications to multiple q-series: A new multidimensional matrix inverse with applications to multiple \(q\)-series
Michael J. Schlosser ; Christian Krattenthaler
Discrete Mathematics. 204:249-279

q-Rothe identities Matrix inversion Other basic hypergeometr... basic hypergeometric ser... Basic hypergeometric ser... MacMahon's Master Theore...
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17

dn basic hypergeometric series: \(D_n\) basic hypergeometric series
Gaurav Bhatnagar
Ramanujan Journal. 3(2):175-203

multiple basic hypergeom... Combinatorial aspects of... Basic hypergeometric fun... Other basic hypergeometr... Rogers-Selberg function Combinatorial identities...
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18

Expansions for (q)∞n2+2n and basic hypergeometric series in U(n): Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\)
Stephen C. Milne ; Verne E. Leininger
Discrete Mathematics. 204:281-317

Unitary groups \(U(n)\) \(q\)-Whipple transforma... Other basic hypergeometr... Dihedral group symmetrie... 01 natural sciences η-functions
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19

Transformations of Multipleq-Series with Quasi-Arbitrary Terms: Transformations of multiple \(q\)-series with quasi-arbitrary terms
Per W. Karlsson ; Hari M. Srivastava
Journal of Mathematical Analysis and Applications. 231:241-254

basic Pochhammer symbols Applied Mathematics Other basic hypergeometr... transformation formulas 0101 mathematics basic hypergeometric sum...
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20

Separation of Variables and Integral Relations for Special Functions: Separation of variables and integral relations for special functions
Vadim B. Kuznetsov ; Evgueni K. Sklyanin
The Ramanujan Journal. 3:5-35

product formulas Mathematics - Classical... Lamé, Mathieu, and spher... Other basic hypergeometr... Mathematics - Quantum Al... 0103 physical sciences
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