## Found 82 Documents (Results 1–82)

100
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### Some explicit expressions for twisted $$q$$-analogues of Catalan numbers and polynomials. (English)Zbl 07622439

MSC:  05A19 11B83
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### A new refinement of the generalized Hölder’s inequality with applications. (English)Zbl 07554046

MSC:  26D07 33B15 33B20
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### A note on $$q$$-analogue of Catalan numbers arising from fermionic $$p$$-adic $$q$$-integral on $$\mathbb{Z}_p$$. (English)Zbl 1492.11041

MSC:  11B68 11S80
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### Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. (English)Zbl 1476.11061

Rassias, Themistocles M. (ed.), Approximation theory and analytic inequalities. Cham: Springer. 435-486 (2021).
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### Estimates for multilinear commutators of Hardy-type operators on $$p$$-adic function spaces. (Chinese. English summary)Zbl 1474.42063

MSC:  42B20 42B35 47B47

### $$\overline{q}$$-gamma-beta functions on quantum integral. (English)Zbl 1467.33001

MSC:  33B20 11S80 45P05
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### Factors of some truncated basic hypergeometric series. (English)Zbl 1448.33016

MSC:  33D05 11A07 11F33
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### Symmetric identities of higher-order degenerate $$q$$-Bernoulli polynomials. (English)Zbl 1371.05006

MSC:  05A10 11B68 11S80
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### Analysis of the $$p$$-adic $$q$$-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. (English)Zbl 1426.11015

MSC:  11B68 11S80
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### Identities of symmetry for degenerate $$q$$-Euler polynomials. (English)Zbl 1360.11044

MSC:  11B68 11S80

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### Maximal function and Riesz potential on $$p$$-adic linear spaces. (English)Zbl 1284.42044

MSC:  42B20 42B25
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### Some properties of the $$q$$-extension of the $$p$$-adic gamma function. (English)Zbl 1277.33016

MSC:  33D05 11S80
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### A study on the $$q$$-Euler numbers and the fermionic $$q$$-integral of the product of several type $$q$$-Bernstein polynomials on $$\mathbb Z_p$$. (English)Zbl 1275.11042

MSC:  11B68 11S80
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### Calculating zeros of $$q$$-extension of the second kind Bernoulli polynomials. (English)Zbl 1287.11038

MSC:  11B68 11S80 33D45

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### Some results for the $$q$$-Bernoulli, $$q$$-Euler numbers and polynomials. (English)Zbl 1273.11038

MSC:  11B68 11S40 11S80
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### A family of Barnes-type multiple twisted $$q$$-Euler numbers and polynomials related to fermionic $$p$$-adic invariant integrals on $$\mathbb Z_p$$. (English)Zbl 1256.11015

MSC:  11B68 11S80

### Note on the Euler $$q$$-zeta functions. (English)Zbl 1221.11231

MSC:  11S80 11S40 11B68
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### On a $$p$$-adic interpolation function for the $$q$$-extension of the generalized Bernoulli polynomials and its derivative. (English)Zbl 1213.11048

MSC:  11B68 11S80
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### Exploring the $$q$$-analogues of the sums of powers of consecutive integers with “Mathematica”. (English)Zbl 1177.11091

MSC:  11S80 11B68

### Symmetry $$p$$-adic invariant integral on $$\mathbb Z_p$$ for Bernoulli and Euler polynomials. (English)Zbl 1229.11152

MSC:  11S80 11B68
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### A new $$q$$-analogue of Bernoulli polynomials associated with $$p$$-adic $$q$$-integrals. (English)Zbl 1217.11116

MSC:  11S80 11B68 11S40
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### Explicit $$p$$-adic $$q$$-expansion for the alternating sums of powers. (English)Zbl 1245.11112

MSC:  11S80 11B68

### On $$p$$-adic $$q$$-$$l$$-functions and sums of powers. (English)Zbl 1154.11310

MSC:  11B65 11S80 11S40
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### On a $$q$$-analogue of the $$p$$-adic generalized twisted $$L$$-functions and $$p$$-adic $$q$$-integrals. (English)Zbl 1130.11012

MSC:  11B68 11S80 11S40
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### $$q$$-difference equations and $$p$$-adic local monodromy. (English)Zbl 1075.39017

Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. I. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-167-8/pbk). Astérisque 296, 55-111 (2004).
MSC:  39A13 12H10 33D05
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### Kummer congruences for the Euler numbers of higher order. (English)Zbl 1064.11078

Reviewer: Kaori Ota (Tokyo)
MSC:  11S80 11B68

### On multivariate $$p$$-adic $$q$$-integrals. (English)Zbl 1002.11088

MSC:  11S80 11S40 33D05
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### An analogue of Bernoulli numbers and their congruences. (English)Zbl 1146.11335

Kim, Taekyun (ed.) et al., Proceedings of the Jangjeon Mathematical Society. Korea: Jangjeon Mathematical Society (ISBN 89-87809-15-3). Proc. Jangjeon Math. Soc. 1, 133-143 (2000).
MSC:  11S80 11B68 33D05

### On beta and gamma functions associated with the Grothendieck-Teichmüller group. II. (English)Zbl 1046.14009

MSC:  14G32 11S80 33D05
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### On $$BC$$ type basic hypergeometric orthogonal polynomials. (English)Zbl 0936.33008

MSC:  33D52 33D45 33D80
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### On beta and gamma functions associated with the Grothendieck-Teichmüller group. Appendix: Profinite free differential calculus and profinite Blanchfield-Lyndon thereom. (English)Zbl 1046.14010

Völklein, Helmut (ed.) et al., Aspects of Galois theory. Papers from the conference on Galois theory, Gainesville, FL, USA, October 14–18, 1996. Cambridge: Cambridge University Press (ISBN 0-521-63747-3/pbk). Lond. Math. Soc. Lect. Note Ser. 256, 144-179 (1999).
MSC:  14G32 11S80 33D05

MSC:  33D80
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MSC:  33D80
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### $$q$$-analogues of $$p$$-adic gamma functions and $$p$$-adic Euler constants. (English)Zbl 1022.11061

MSC:  11S80 33D05

### A new derivation of the inner product formula for the Macdonald symmetric polynomials. (English)Zbl 0932.33028

Reviewer: A.Klimyk (Kyïv)
MSC:  33D52 05E35 33D70 33D80
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### On a theta product formula for Jackson integrals associated with root systems of rank two. (English)Zbl 0902.33011

MSC:  33D05 33D10 33D80
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### Addition formulas for $$q$$-special functions. (English)Zbl 0889.33010

Ismail, Mourad E. H. (ed.) et al., Special functions, $$q$$-series and related topics. Providence, RI: American Mathematical Society. Fields Inst. Commun. 14, 109-129 (1997).
Reviewer: P.K.Mittal (Ajmer)
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### Multivariable big and little $$q$$-Jacobi polynomials. (English)Zbl 0892.33010

MSC:  33D45 33D80
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### $$q$$-gamma and $$q$$-beta functions in quantum algebra representation theory. (English)Zbl 0872.33010

MSC:  33D05 33D80 16W30 17B37
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### Eight lectures on quantum groups and $$q$$-special functions. (English)Zbl 0902.17004

Reviewer: Li Fang (Hangzhou)
MSC:  17B37 33D80 16W30 33D70 17-02 33-02
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### Identities for $$q$$-ultraspherical polynomials and Jacobi functions. (English)Zbl 0828.33014

MSC:  33D70 33C45 33D80
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### Generalized $$q$$-exponentials related to orthogonal quantum groups and Fourier transformations of noncommutative spaces. (English)Zbl 0826.33010

MSC:  33D05 33D80
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### $$(r,s)$$-exponentials. (English. Russian original)Zbl 0841.33006

Russ. Acad. Sci., Dokl., Math. 49, No. 3, 577-581 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 6, 730-732 (1994).
Reviewer: A.Klimyk (Kiev)

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### A simple proof of an Aomoto type extension of the $$q$$-Morris theorem. (English)Zbl 0862.33015

Andrews, George E. (ed.) et al., The Rademacher legacy to mathematics. The centenary conference in honor of Hans Rademacher, July 21-25, 1992, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 166, 167-182 (1994).
MSC:  33D05 05A30 33D80

### Holonomic $$q$$-difference system of the first order associated with a Jackson integral of Selberg type. (English)Zbl 0801.39003

Reviewer: L.Berg (Rostock)
MSC:  39A70 39A12 33D80
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### Some $$q$$-beta integrals on $$SU(n)$$ and $$Sp(n)$$ that generalize the Askey-Wilson and Nasrallah-Rahman integrals. (English)Zbl 0819.33009

Reviewer: G.Zet (Iaşi)
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### $$p$$-adic analysis and mathematical physics. (English)Zbl 0812.46076

Series on Soviet and East European Mathematics. 10. Singapore: World Scientific. xviii, 319 p. (1994).

### Generalized $$q$$-Bessel functions. (English)Zbl 1043.33500

MSC:  33D70 17B10 33D80
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### A basic analogue of Graf’s addition formula and related formulas. (English)Zbl 0826.33012

MSC:  33D70 33D15 33D80
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### The $$q$$-hypergeometric equation of Gauss and a description of its series and integral solutions. (English. Russian original)Zbl 0832.33011

Russ. Acad. Sci., Dokl., Math. 48, No. 1, 40-45 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 2, 140-143 (1993).
Reviewer: A.Klimyk (Kiev)
MSC:  33D20 33D70 33D80 39A12 39A10

### Weyl shift of $$q$$-oscillator and $$q$$-polynomials. (English. Russian original)Zbl 0794.33013

Theor. Math. Phys. 94, No. 2, 219-224 (1993); translation from Teor. Mat. Fiz. 94, No. 2, 307-315 (1993).
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### Quantum algebra structure of certain Jackson integrals. (English)Zbl 0795.17023

MSC:  17B37 33D80 17B69
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### Askey-Wilson polynomials as zonal spherical functions on the $$SU(2)$$ quantum group. (English)Zbl 0799.33015

MSC:  33D70 33D80 17B37
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### An $$SU(n)q$$-beta integral transformation and multiple hypergeometric series identities. (English)Zbl 0777.33009

MSC:  33D05 33D80
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### Quantum groups and basic hypergeometric functions. (English)Zbl 0820.17018

Curtright, Thomas (ed.) et al., Proceedings of the Argonne workshop on quantum groups, held at the Argonne National Laboratory, Argonne, IL, USA, 16 April-11 May, 1990. Singapore: World Scientific. 123-132 (1991).
MSC:  17B37 33D60 33D80

### Addition and multiplication theorems for q-Krawtchouk, q-Hahn and q-Racah polynomials. (Russian. English summary)Zbl 0725.33013

Reviewer: A.U.Klimyk
MSC:  33D70 33D80

### On models of irreducible $$q$$-representations of $$\mathrm{sl}(2,\mathbb C)$$. (English)Zbl 0723.33013

MSC:  33D80 17B37 26A33
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### p-adic analog of Heine’s hypergeometric q-series. (English)Zbl 0516.33012

MSC:  33E99 33D05 11S80
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