Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science
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Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science

Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science

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About the Book

The generating functions have various applications in many branches of mathematics and sciences, representing a widely used and powerful tool for solving problems. In combinatorics, they allow for obtaining a compact representation of discrete structures and the investigation of several properties of the sequences they generate, i.e. their asymptotic growth. Theory and Applications of the Generating Functions: Pure Mathematics and Applied Science provides the mathematical basis and application examples: generating functions, infinite series, and asymptotic methods.

Table of Contents:
Section 1 Generating Functions and Series Chapter 1 Generating Function for the Figurative Numbers of Regular Polyhedron Chapter 2 Method for Obtaining Coefficients of Powers of Bivariate Generating Functions Chapter 3 Danny Nguyen and IGOR PAK Chapter 4 Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations Chapter 5 Identities, Inequalities for Boole-type Polynomials: Approach to Generating Functions and Infinite Series Chapter 6 On the Exponential Generating Function for Non-Backtracking Walks Chapter 7 Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function Chapter 8 Dirichlet Series Expansions of P-Adic L-functions Section 2 Asymptotic Methods Chapter 9 Asymptotic Analysis of Regular Sequences Chapter 10 Lagrange Inversion and Combinatorial Species with Uncountable Color Palette Chapter 11 On Solving Some Functional Equations Chapter 12 Khinchin Families and Hayman Class Section 3 Applications to Pure Mathematics and Applied Science Chapter 13 Generating Functions for Generalized Stirling Type Numbers, Array Type Polynomials, Eulerian Type Polynomials and their Applications Chapter 14 Generalized Tepper's Identity and Its Application Chapter 15 New Bell–Sheffer Polynomial Sets


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Product Details
  • ISBN-13: 9781774699850
  • Publisher: Arcler Press
  • Publisher Imprint: Arcler Press
  • Language: English
  • ISBN-10: 1774699850
  • Publisher Date: 11 Jun 2024
  • Binding: Digital (delivered electronically)
  • No of Pages: 461


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