The Lerch zeta and related functions of non-positive integer order
DOI10.1090/S0002-9939-09-10116-8zbMath1196.11119OpenAlexW1990404187MaRDI QIDQ3550556
Publication date: 31 March 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10116-8
Lerch zeta functionLegendre chi functionderivative polynomialshigher (generalized) secant numbershigher (generalized) tangent numbersalternating Legendre chi functionalternating Lerch zeta functionsecant numbers of order ktangent numbers of order k
Other functions defined by series and integrals (33E20) Special sequences and polynomials (11B83) Hurwitz and Lerch zeta functions (11M35)
Related Items (1)
Cites Work
- Integral representations of the Legendre chi function
- Derivative polynomials, Euler polynomials, and associated integer sequences
- Dirichlet L-functions and character power sums
- Tangent numbers and operators
- On the Lerch zeta function
- Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
- Central Factorial Numbers and Values of Bernoulli and Euler Polynomials at Rationals
- Permutations, Sequences and Special Functions
- Values of the Legendre chi and Hurwitz zeta functions at rational arguments
- Derivative Polynomials for Tangent and Secant
- Computation of Tangent, Euler, and Bernoulli Numbers
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