Functions with derivatives given by polynomials in the function itself or a related function

DOI10.1007/s10474-007-0102-5zbMath1174.30311OpenAlexW2315271523MaRDI QIDQ2390139

Ghislain R. Franssens

Publication date: 20 July 2009

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-0102-5

zbMATH Keywords

derivatives given by polynomials

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Exponential and trigonometric functions (33B10)

Related Items (11)

ON -VECTORS AND THE DERIVATIVES OF THE TANGENT AND SECANT FUNCTIONS ⋮ Enumeration of permutations by number of alternating runs ⋮ Beyond the Basel Problem: Part II ⋮ On some expansions for the Euler gamma function and the Riemann zeta function ⋮ An explicit formula for the number of permutations with a given number of alternating runs ⋮ Some applications of the generalized Eulerian numbers ⋮ Derivative polynomials and enumeration of permutations by number of interior and left peaks ⋮ The trace method for cotangent sums ⋮ Alternating Eulerian polynomials and left peak polynomials ⋮ Derivative polynomials and closed-form higher derivative formulae ⋮ Some combinatorial arrays related to the Lotka-Volterra system

Cites Work

• An on-line version of ``The Encyclopedia of Integer Sequences
• How to Compute the Series Expansions of Sec X and Tan X
• Derivative Polynomials for Tangent and Secant
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