Chapter 3 of Ramanujan's second notebook

DOI10.1016/0001-8708(83)90071-3zbMath0524.41017OpenAlexW2567803513WikidataQ60306904 ScholiaQ60306904MaRDI QIDQ585500

Ronald J. Evans, B. M. Wilson, Bruce C. Berndt

Publication date: 1983

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90071-3

zbMATH Keywords

Bell polynomialsBell numbersRamanujan asymptotics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Asymptotic results on arithmetic functions (11N37) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Arboretum for a generalisation of Ramanujan polynomials ⋮ A combinatorial identity involving gamma function and Pochhammer symbol ⋮ A context-free grammar for the Ramanujan-Shor polynomials ⋮ Bijections behind the Ramanujan polynomials ⋮ Chapter 7 of Ramanujan's second notebook ⋮ Chapter 6 of Ramanujan's second notebook

Cites Work

• Some congruences involving sums of binomial coefficients
• Generalization of a theorem of Jensen concerning convolutions
• Single variable Bell polynomials
• The umbral calculus
• Exponential polynomials
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• A series transformation for finding convolution identities
• A new convolution formula and some new orthogonal relations for inversion of series
• The iterated exponential integers
• Nombres Exponentiels Et Nombres De Bernoulli
• Some Generalizations of Vandermonde's Convolution
• Final Analysis of Vandermonde's Convolution
• Minimum Periods, Modulo p, of First-Order Bell Exponential Integers
• Solving an Exponential Equation
• Chapter 2 of Ramanujan's second notebook
• Congruences Involving Sums of Binomial Coefficients and a Formula of Jensen
• A Function Related to the Series for
• Numbers Generated by the Function e e x-1
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