Suchergebnisse - Applications of basic hypergeometric functions

  1. 1

    Applications of Basic Hypergeometric Functions von Andrews, George E.

    ISSN: 0036-1445, 1095-7200
    Veröffentlicht: Philadelphia The Society for Industrial and Applied Mathematics 01.10.1974
    Veröffentlicht in SIAM review (01.10.1974)
    “… This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities …”
    Volltext
    Journal Article
  2. 2

    Some identities of certain basic hypergeometric series and their applications to mock theta functions von Zhang, Zhizheng, Song, Hanfei

    ISSN: 0019-5588, 0975-7465
    Veröffentlicht: New Delhi Indian National Science Academy 01.12.2023
    Veröffentlicht in Indian journal of pure and applied mathematics (01.12.2023)
    “… In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions …”
    Volltext
    Journal Article
  3. 3

    Geometric properties of basic hypergeometric functions von Agrawal, S., Sahoo, S.K.

    ISSN: 1023-6198, 1563-5120
    Veröffentlicht: Abingdon Taylor & Francis 02.11.2014
    Veröffentlicht in Journal of difference equations and applications (02.11.2014)
    “… In this article, we consider basic hypergeometric functions introduced by Heine. We study the mapping properties of certain ratios of basic hypergeometric …”
    Volltext
    Journal Article
  4. 4

    A General Family of q-Hypergeometric Polynomials and Associated Generating Functions von Srivastava, Hari Mohan, Arjika, Sama

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.06.2021
    Veröffentlicht in Mathematics (Basel) (01.06.2021)
    “… Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q …”
    Volltext
    Journal Article
  5. 5

    Certain Investigations in the Field of Basic Hypergeometric Functions and Their Applications von Siddiqui, Mohammad Nafees

    ISBN: 0438910451, 9780438910454
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2010
    Volltext
    Dissertation
  6. 6

    Bounded Littlewood identities von Rains, Eric M., Warnaar, S. Ole

    ISBN: 1470446901, 9781470446901
    ISSN: 0065-9266, 1947-6221
    Veröffentlicht: Providence, Rhode Island American Mathematical Society 2021
    “… We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities …”
    Volltext
    E-Book Buch
  7. 7

    A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions von Srivastava, Hari M., Cao, Jian, Arjika, Sama

    ISSN: 2073-8994, 2073-8994
    Veröffentlicht: 01.11.2020
    Veröffentlicht in Symmetry (Basel) (01.11.2020)
    “… -) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, in many diverse areas …”
    Volltext
    Journal Article
  8. 8

    A Study of Basic-Hypergeometric Functions and Their Applications von Maurya, Om Prakash

    ISBN: 9780355903133, 035590313X
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2002
    “… Basic hypergeometric series have assumed great importance during the last four decades or so because of their applications in diverse fields, like additive number theory, combinatorial analysis …”
    Volltext
    Dissertation
  9. 9

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

    ISSN: 0001-8708, 1090-2082
    Veröffentlicht: Elsevier Inc 15.01.2014
    Veröffentlicht in Advances in mathematics (New York. 1965) (15.01.2014)
    “… –Baxter and reflection equations. Applications to quantum c-functions, basic hypergeometric functions, reflectionless difference operators and multivariable Baker …”
    Volltext
    Journal Article
  10. 10

    Certain Investigations in the Field of Basic-Hypergeometric Functions and Their Applications von Mishra, Bindu Prakash B

    ISBN: 9780355903201, 0355903202
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2003
    Volltext
    Dissertation
  11. 11

    Hypergeometric generating functions for values of Dirichlet and other L functions von Lovejoy, Jeremy, Ono, Ken

    ISSN: 0027-8424
    Veröffentlicht: United States 10.06.2003
    “… Soc, Providence, RI); (1975) Problems and Prospects for Basic Hypergeometric Series …”
    Weitere Angaben
    Journal Article
  12. 12

    G-continued fractions for basic hypergeometric functions II von Bowman, Douglas, Choi, Geumlan

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.08.2003
    Veröffentlicht in Journal of mathematical analysis and applications (15.08.2003)
    “… In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables …”
    Volltext
    Journal Article
  13. 13

    Contiguous relations of hypergeometric series von VIDUNAS, Raimundas

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Amsterdam Elsevier B.V 01.04.2003
    Veröffentlicht in Journal of computational and applied mathematics (01.04.2003)
    “… We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them …”
    Volltext
    Journal Article Tagungsbericht
  14. 14
  15. 15

    Bounds for q-integrals of ... with applications von He, Zhefei, Wang, Mingjin, Xi, Gaowen

    ISSN: 1029-242X
    Veröffentlicht: 01.12.2015
    Veröffentlicht in Journal of inequalities and applications (01.12.2015)
    “… (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).In this paper, we establish an inequality for the q-integral of the bilateral basic hypergeometric function …”
    Volltext
    Journal Article
  16. 16

    The q-derivative and differential equation von Akça, Haydar, Benbourenane, Jamal, Eleuch, Hichem

    ISSN: 1742-6588, 1742-6596
    Veröffentlicht: Bristol IOP Publishing 01.11.2019
    Veröffentlicht in Journal of physics. Conference series (01.11.2019)
    “… , combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics …”
    Volltext
    Journal Article
  17. 17

    Factorization of Basic Hypergeometric Series von Bradley-Thrush, Jonathan G.

    ISSN: 1815-0659, 1815-0659
    Veröffentlicht: 01.01.2025
    “… The general problem of the factorization of a basic hypergeometric series is presented and discussed …”
    Volltext
    Journal Article
  18. 18
  19. 19

    G-Continued Fractions for Basic Hypergeometric Functions von Bowman, Douglas, Choi, Geumlan

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.03.2000
    Veröffentlicht in Journal of mathematical analysis and applications (15.03.2000)
    Volltext
    Journal Article
  20. 20

    On basic Horn hypergeometric functions H3 and H4 von Shehata, Ayman

    ISSN: 1687-1839, 1687-1847
    Veröffentlicht: Cham Springer International Publishing 01.12.2020
    Veröffentlicht in Advances in difference equations (01.12.2020)
    “… The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4 …”
    Volltext
    Journal Article