q,k-generalized gamma and beta functions

被引:64
|
作者
Díaz, R
Teruel, C
机构
[1] Inst Venezolano Invest Cient, Caracas, Venezuela
[2] Cent Univ Venezuela, Caracas, Venezuela
关键词
D O I
10.2991/jnmp.2005.12.1.10
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce the q,k-generalized Pochhammer symbol. We construct Gamma(q,k) and B-q,B-k, the q,k-generalied gamma and beta functions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions. Moreover, we provide integral representations for Gamma(q,k) and B-q,B-k.
引用
收藏
页码:118 / 134
页数:17
相关论文
共 50 条
  • [41] Approximating k-generalized connectivity via collapsing HSTs
    Segev, Danny
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2011, 21 (03) : 364 - 382
  • [42] An approximation algorithm for the k-generalized Steiner forest problem
    Gao, Jiawen
    Gao, Suogang
    Liu, Wen
    Wu, Weili
    Du, Ding-Zhu
    Hou, Bo
    OPTIMIZATION LETTERS, 2021, 15 (04) : 1475 - 1483
  • [43] An approximation algorithm for the k-generalized Steiner forest problem
    Jiawen Gao
    Suogang Gao
    Wen Liu
    Weili Wu
    Ding-Zhu Du
    Bo Hou
    Optimization Letters, 2021, 15 : 1475 - 1483
  • [44] On uniqueness properties of solutions of the k-generalized KdV equations
    Escauriaza, L.
    Kenig, C. E.
    Ponce, G.
    Vega, L.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 244 (02) : 504 - 535
  • [45] On a conjecture about repdigits in k-generalized Fibonacci sequences
    Bravo, Jhon J.
    Luca, Florian
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (3-4): : 623 - 639
  • [46] ON THE INTERSECTION OF TWO DISTINCT k-GENERALIZED FIBONACCI SEQUENCES
    Marques, Diego
    MATHEMATICA BOHEMICA, 2012, 137 (04): : 403 - 413
  • [47] On the IVP for the k-Generalized Benjamin-Ono Equation
    Ponce, Gustavo
    HARMONIC ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, COMPLEX ANALYSIS, BANACH SPACES, AND OPERATOR THEORY, VOL 1: CELEBRATING CORA SADOSKY'S LIFE, 2016, 4 : 349 - 371
  • [48] GENERATING FORMS OF K-GENERALIZED LAGRANGIAN AND HAMILTONIAN SYSTEMS
    RODRIGUES, PR
    JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (09) : 1720 - 1723
  • [49] On the zero-multiplicity of the k-generalized Fibonacci sequence
    Garcia, Jonathan
    Gomez, Carlos A.
    Luca, Florian
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (11-12) : 1564 - 1578
  • [50] On the largest prime factor of the k-generalized Lucas numbers
    Batte, Herbert
    Luca, Florian
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):