본문 바로가기
KERD
논문KCI 등재

Generating relations involving 3-variable 2-parameter Tricomi functions using Lie-algebraic techniques

Mumtaz Ahmad Khan|Rehana Khan|Subuhi Khan
대한수학회 (The Korean Mathematical Society)|2009.11|대한수학회지 (Journal of the KMS)|제46권 제6호|pp. 1277-1292

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

generating relationsLie-algebra representationgeneralized Tricomi functions
주제분류수학

초록

This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.

Abstract

This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.

참고문헌 (17)

  1. L. C. Andrews, "Special Functions for Engineers and Applied Mathematician" (1985), Macmillan Company
  2. G. Dattoli, "Hermite-Bessel and Laguerre-Bessel functions: a by-product of the monomiality principle, Advanced special functions and applications", Proc. Melfi Sch. Adv. Top. Math. Phys., 1, pp.147~164 (2000)
  3. G. Dattoli, "Some families of generating functions for the Bessel and related functions", Georgian Math. J., 11(2), pp.219~228 (2004)
  4. G. Dattoli, "Theory and Applications of Generalized Bessel Functions" (1996), ARACNE
  5. G. Dattoli, "Theory of generalized Bessel functions", Nuovo Cimento B, 106(1), pp.21~51 (1991)
  6. S. Helgason, "Differential Geometry and Symmetric Spaces" (1962), Academic Press
  7. S. Khan, "Harmonic oscillator group and Laguerre 2D polynomials", Rep. Math. Phys., 52, pp.227~233 (2003)
  8. S. Khan, "Lie theoretic generating relations of Hermite 2D polynomials", J. Comput. Appl. Math., 160(1), pp.139~146 (2003)
  9. S. Khan, "Representation of Lie algebra T3 and 2-variable 2-parameter Bessel functions", J. Math. Anal. Appl., 326(1), pp.500~510 (2007)
  10. W. Jr. Miller, "Lie Theory and Special Functions" (1968), Academic Press
  11. E. D. Rainville, "Special Functions, Macmillan" (1971), Chelsea Publ. Co.
  12. H. M. Srivastava, "A Treatise on Generating Functions" (1984), Ellis Horwood Limited
  13. N. Ja. Vilenkin, "Special Functions and the Theory of Group Representations" (1968), Amer. Math. Soc. Trans.
  14. A. Wawrzy¯nczyk, "Group Representation and Special Functions" (1984), PWN-Polish Scientific Publ.
  15. L. Weisner, "Group-theoretic origin of certain generating functions", Pacific J. Math., 5통권 : 1, pp.1033~1039 (1955)
  16. L. Weisner, "Generating functions for Hermite functions", Canad. J. Math., 11, pp.141~147 (1959)
  17. L. Weisner, "Generating functions for Bessel functions", Canad. J. Math., 11, pp.148~155 (1959)

관련 논문AI추천

LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALSMaged G. Bin-Saad, M.J.S. Shahwan한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호Certain Models of the Lie Algebra K5 and Their Connection with Special FunctionsGeeta Rani, Sarasvati Yadav경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제4호Generating functions for the extended Wright type hypergeometric functionAjay Kumar Shukla, Bhumika Maheshwari, Ranjan Kumar Jana대한수학회 · 대한수학회논문집2017 · 제32권 제1호Certain generalized and mixed type generating relations: an operational approachNaresh Kumar, Rehana Khan, Ruma Qamar대한수학회 · 대한수학회논문집2018 · 제33권 제2호Some Generating Relations of Extended Mittag-Leffler FuntionsMohd Ghayasuddin, Mohd Shadab, Nabiullah Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Operational calculus associated with certain families of generating functionsRehana Khan, Subuhi Khan대한수학회 · 대한수학회논문집2015 · 제30권 제4호

이 간행물의 다른 논문 (15건)

On hyperbolic 3-manifolds with symmetric Heegaard splittings김수환, 김양곡pp. 1119-1137Representations of the Moore-Penrose inverse of 2×2 block operator valued matricesHong Ke Du, Chun Yuan Dengpp. 1139-1150Strong convergence of composite iterative methods for nonexpansive mappings정종수pp. 1151-1164Finite groups which have many normal subgroupsMingyao Xu, Haipeng Qu, Qinhai Zhang, Xiaoqiang Guopp. 1165-1178A note on Prüfer semistar multiplication domainsGiampaolo Picozzapp. 1179-1192
원문 보기