## Found 732 Documents (Results 1–100)

100
MathJax

Full Text:

Full Text:

Full Text:

Full Text:

### On a generalized Weierstrass theta identity. (English)Zbl 07453368

MSC:  33D90 33D15 33E05
Full Text:

Full Text:

### Certain properties of Jacobi’s theta functions. (English)Zbl 07528074

MSC:  33E05 11F11 11F12
Full Text:

MSC:  33D15
Full Text:

Full Text:

Full Text:

### Variants of confluent $$q$$-hypergeometric equations. (English)Zbl 07464624

Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 161-180 (2021).
MSC:  33D15 39A13
Full Text:

### Multivalent functions related with an integral operator. (English)Zbl 07459474

MSC:  30Cxx 33Dxx 30Dxx
Full Text:

### Bilinear, bilateral and trilateral generating relations. (English)Zbl 07458999

MSC:  33D15 33D10 33E05
Full Text:

### Systematically several general classes of bilateral generating functions. (English)Zbl 07458962

MSC:  33D15 33D10 33E05
Full Text:

Full Text:

### Bessel-Wright transform in the setting of quantum calculus. (English)Zbl 1471.33008

MSC:  33D15 47A70
Full Text:

### On the $$q$$-Dyson orthogonality problem. (English)Zbl 1469.05020

MSC:  05A30 33D70 05E05
Full Text:

### Twisted cubic theta hypergeometric series. (English)Zbl 1479.33011

MSC:  33D15 33E05
Full Text:

### New theta function identities for a continued fraction of Ramanujan and their applications. (English)Zbl 07363580

MSC:  11F27 33D90
Full Text:

### A symmetric function generalization of the Zeilberger-Bressoud $$q$$-Dyson theorem. (English)Zbl 1462.05041

MSC:  05A30 33D70 05E05
Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

### A note on $$q$$-partial differential equations for generalized $$q$$-2D Hermite polynomials. (English)Zbl 1472.39013

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 201-211 (2020).
Full Text:

Full Text:

### Differential equation derived from generating function – the case of disk polynomials. (English)Zbl 1467.42042

MSC:  42C05 33D50 05A15
Full Text:

### Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices. (English)Zbl 1469.33012

MSC:  33D45 33C45 39A13
Full Text:

Full Text:

Full Text:

### The endless beta integrals. (English)Zbl 1473.33009

MSC:  33D60 33E20
Full Text:

Full Text:

### Partial theta function identities from Wang and Ma’s conjecture. (English)Zbl 1456.05018

MSC:  05A30 33D15
Full Text:

### Generalizations of Rodrigues type formulas for hypergeometric difference equations on nonuniform lattices. (English)Zbl 1453.33014

MSC:  33D45 33C45
Full Text:

### Extensions of some sufficient conditions for starlikeness and convexity of order $$\beta$$. (English)Zbl 1463.30098

MSC:  30C45 33D15 33E12
Full Text:

Full Text:

Full Text:

### Four identities for third order mock theta functions. (English)Zbl 1455.11136

MSC:  11P83 33D15
Full Text:

### Classical orthogonal polynomials of a discrete and a $$q$$-discrete variable. (English)Zbl 1443.33025

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 85-112 (2020).
Full Text:

### Relations among spheroidal and spherical harmonics. (English)Zbl 1474.30262

MSC:  30G35 33D50
Full Text:

### Some $$q$$-exponential formulas for finite-dimensional $$\square_q$$-modules. (English)Zbl 07210914

MSC:  33D80 17B37
Full Text:

Full Text:

### Connection relations for $$q$$-Taylor polynomial bases. (English)Zbl 1435.33018

MSC:  33D15 33D45 41A58
Full Text:

### Proofs of some conjectures of Chan on Appell-Lerch sums. (English)Zbl 1450.11107

MSC:  11P83 11B65 33D15
Full Text:

Full Text:

Full Text:

### Properties of some new bilateral mock theta functions. (English)Zbl 1438.33025

MSC:  33D15 11B65
Full Text:

### Certain subclasses of multivalently non-Bazilevic functions involving a generalized Mittag-Leffler function. (English)Zbl 07496214

MSC:  30C45 30D30 33D20

Full Text:

MSC:  33D15
Full Text:

### A new summation formula for $$_2\psi_2$$ basic bilateral hypergeometric series by $$q$$-exponential operator technique. (English)Zbl 1463.33031

MSC:  33D05 33D15
Full Text:

### On linear independence of the values of some hypergeometric functions over the imaginary quadratic field. (Russian. English summary)Zbl 07201107

MSC:  11J72 33D15
Full Text:

MSC:  33D15
Full Text:

### $$q$$-Sumudu transforms pertaining to the product of family of $$q$$-polynomials and generalized basic hypergeometric functions. (English)Zbl 1431.33020

MSC:  33D45 33D60 05A30
Full Text:

Full Text:

Full Text:

### A $$p$$-deformed $$q$$-inverse pair and associated polynomials including Askey scheme. (English)Zbl 1429.33029

MSC:  33D15 33D45 33D65
Full Text:

### On the Bessel-Wright transform. (English)Zbl 1438.33026

MSC:  33D15 47A05
Full Text:

### Inequalities for some basic hypergeometric functions. (English)Zbl 1428.33032

MSC:  33D15 26A51
Full Text:

### Transformations of basic hypergeometric series from the viewpoint of substitution of parameter operators. (English)Zbl 1428.33033

MSC:  33D15 05A19
Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

Full Text:

### An equivalency of Bailey’s very-well-poised $$_6\psi _6$$ summation and Weierstrass’ theta function identity. (English)Zbl 1475.33010

MSC:  33D15 33C45
Full Text:

Full Text:

### On exponential and trigonometric functions on nonuniform lattices. (English)Zbl 1431.33019

MSC:  33D15 33D45
Full Text:

Full Text:

### Alternating “strange” functions. (English)Zbl 1444.11114

MSC:  11F99 33D15 40A30
Full Text:

### On a $$q$$-deformation of modular forms. (English)Zbl 1445.11014

MSC:  11B65 33C05 11F03
Full Text:

Full Text:

Full Text:

Full Text:

### Efficient computation for Bayesian comparison of two proportions. (English)Zbl 1414.62095

MSC:  62F15 33D90
Full Text:

### Spectral analysis of two doubly infinite Jacobi matrices with exponential entries. (English)Zbl 07011433

MSC:  47B36 33D90
Full Text:

Full Text:

### Ramanujan’s Eisenstein series of level 3 and 6, its application. (English)Zbl 1425.11071

MSC:  11F11 11F20 33D15

Full Text:

Full Text:

### A certain generalization of $$q$$-hypergeometric functions and their related monodromy preserving deformation. (English)Zbl 1422.39030

MSC:  39A13 33D60 33D05
Full Text:

Full Text:

### Some new expansion formulae involving a basic analogue of generalized $$H$$-function. (English)Zbl 1414.33018

MSC:  33D60 26A33

### Holonomic tools for basic hypergeometric functions. (English)Zbl 1411.33019

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and $$q$$-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 393-416 (2018).
MSC:  33F10 05A30 33D15
Full Text:

### A Sturm-Liouville theory for Hahn difference operator. (English)Zbl 1415.39014

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and $$q$$-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 35-83 (2018).
Full Text:

### Remarks on $$\tau$$-functions for the difference Painlevé equations of type $$E_8$$. (English)Zbl 1409.39008

Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 1-65 (2018).
MSC:  39A20 33E17 33D70
Full Text:

MSC:  33D15

### On the reciprocity theorem of Ramanujan and its applications. (English)Zbl 1405.33022

MSC:  33D15 11A15
Full Text:

Full Text:

Full Text:

Full Text:

### Certain properties of the $$q$$-$$\ell$$-$$\varPsi$$ Bessel function. (English)Zbl 1400.33026

MSC:  33D05 33D15
Full Text:

Full Text:

Full Text:

Full Text:

all top 5

all top 5

all top 5

all top 3

all top 3