Dissertation > Excellent graduate degree dissertation topics show

Some Identities on Generalized Apostol-Bernoulli-Euler Polynomials and Their Q-Anologue

Author: DingDan
Tutor: ZhangZhiZheng
School: Henan Normal
Course: Operational Research and Cybernetics
Keywords: Bernoulli polynomials Euler polynomials q-Apostol-Bernoulli polyno-mials q-Apostol-Euler polynomials q-Stirling numbers of the second kind
CLC: O157.1
Type: Master's thesis
Year: 2011
Downloads: 24
Quote: 0
Read: Download Dissertation

Abstract


In this theis, we mainly research Bernoulli number, Euler number, Bernoulli polyno-mials, Euler polynomials, meanwhile we also discuss q-Apostol-Bernoulli polynomials andq-Apostol-Euler polynomials. And we obtain some new identities about them.In the first chapter, we introduce basic definitions and some notations about Bernoullipolynomial and Euler polynomial.In the second chapter, several symmetric identities are given on the generalized Apostol-Euler polynomials by applying the generating functions. Meanwhile, we obtain somenew identities about the generalized Apostol-Bernoulli polynomials and the generalizedApostol-Euler polynomials.In the third chapter, we focus on reseraching q-Apostol-Bernoulli polynomials, q-Apostol-Euler polynomials and obtain some new identities.

Related Dissertations

  1. Applications of Some Operators in Combinatorial Mathematics,O177
  2. Bernoulli Polynomials and Power Sum Polynomials,O174.14
  3. A Class of Diophantine Equations with Three Bernoulli Polynomials,O156
  4. Bernoulli Polynomials and Euler Polynomials Based on the Akiyama-Tanigawa Algorithm,O157
  5. Stirling Numbers of the Second Kind and Their Generalizations,O157
  6. Generalized Bernoulli-Euler Polynomials and Their Research,O174.14
  7. Combinatorial Identities’ Proof and Research on the Generalized Bernoulli and Euler Polynomials,O157
  8. Some Properties of Bernoulli Polynomials and Genocchi Polynomials,O174.13
  9. The Investigation on the Properties of Some Kinds of Combinatorial Sequences,O157
  10. Differentiable function formula with Bernoulli functions and Eulerian function and its application,O174
  11. Some Applications of Operational Methods on Special Function,O174.6
  12. Apostol-Type Polynomials and Their q-Analogues and Elliptic Extensions,O174.14
  13. Some Results on Combinatorial Sequences and Related Matrices,O157
  14. About the Researches on Numerical Characteristics of Geometric Distribution,O211.3
  15. On Ohba’s Conjecture of One Class of Complete Multipartite Graphs,O157.5
  16. Analysis of Complex Networks Modeling and Its Application,O157.5
  17. About two parameters characteristic polynomial and its applications,O157.5
  18. Several studies for scheduling problem,O157.5
  19. Multi-attribute undirected weighted graph clustering method,O157.5
  20. The composite equilibrium existence of the network and its algorithm,O157.5

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Portfolio Analysis
© 2012 www.DissertationTopic.Net  Mobile