Dissertation > Excellent graduate degree dissertation topics show

Expansion Formulas for q-series and Applications

Author: ChenYanHua
Tutor: LiuZhiGuo
School: East China Normal University
Course: Basic mathematics
Keywords: Basic hypergeometric series Bilateral and series Unilateral and series Dixon Theorem The form of power series expansion well-poised 6φ5 summation formula The 1φ1 The conversion formula The 2φ2 The conversion formula
CLC: O173
Type: Master's thesis
Year: 2008
Downloads: 93
Quote: 0
Read: Download Dissertation

Abstract


From a well-known form of the power series expansion of f (b) , the certain unilateral and series of bilateral and Series conversion formula , including 6 φ 5 and 3 < / sub> ψ 3 < / sub> conversion formula 6 φ 5 and 5 < / sub > ψ 5 conversion formula , which gives the well - poised 6 φ 5 < / sub > Sum new proof of the formula . these conversion formulas limited form includes not only the famous theorem q- analog Dixon , also received a similar Dixon theorem q- analog formula using the power series expansion , we also get some classic summation formula 1 φ 1 and the conversion formula between 1 φ 1 < / sub > 2 φ 2 < / sub> and 2 < / sub> φ conversion formula between 2 .

Related Dissertations

  1. Basic Hypergeometric Series and Its Applications,O173
  2. Applications of Inversion in q Series,O156.6
  3. Inverse Series Relations and Classical Combinatorial Identities,O173
  4. East China Normal University,O174.6
  5. Abel’s Lemma on Summation by Parts and q-Series Transformation and Summation Formulae,O173
  6. Rogers-Ramanujan Type Identities and False Theta Function Formulae,O174
  7. q-Difference Operator and Basic Hypergeometric Series,O173
  8. Inversion Techniques and q-Series Identities,O173
  9. Zeilberger’s Algorithm and Its Applications,O174.6
  10. q-Combinatorial Identities,O157
  11. Bivariate Basic Hypergeometric Series,O174.6
  12. The Operator Method, Cauchy Method and Inversion Techniques for Basic Hypergeometric Series,O173
  13. Research on Applications of the Andrews-Askey Integral,O172.2
  14. q-Differential Operator and Its Applications,O175.3
  15. Some Researches on Lucas Sequences,O173
  16. The Bailey Transform and Some New q-series Identities,O173
  17. The Application of Catastrophe Theory and Catastrophe Progression Method in the Coal and Rock Mass Instability,O173
  18. The Growth of Taylor Series and Random Taylor Series,O173.1
  19. Calculating Sums of Infinite Series,O173
  20. Growth of Dirichlet series with regular growth,O173
  21. Fabry dimension estimates,O173

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Infinite series of ( on the series )
© 2012 www.DissertationTopic.Net  Mobile