The asymptotic expansion of certain series considered by ramanujan

DOI10.1080/00036819208840061zbMath0713.41012OpenAlexW4238058428WikidataQ58263987 ScholiaQ58263987MaRDI QIDQ3198285

Ricardo Estrada

Publication date: 1992

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

Full work available at URL: https://doi.org/10.1080/00036819208840061

zbMATH Keywords

Mellin transformasymptotic expansionCesàro summability

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (6)

Dirichlet convolutions inverses and solution of integral equations ⋮ Extensions of the Poisson summation formula ⋮ Characterization of the Fourier series of a distribution having a value at a point ⋮ Regularization of integral equations in spaces of distributions ⋮ The asymptotic expansion of certain multi-dimensional generalized functions ⋮ Vector moment problems for rapidly decreasing smooth functions of several variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on the notion of regular convergence of multiple series
• On the asymptotic expansion of some integrals
• Generalized functions. Theory and technique
• Some results in discontinuous fields and wave propagation
• Higher order fundamental forms of a surface and their applications to wave propagation and generalized derivatives
• New omega theorems for two classical lattice point problems
• On the order of zeta(1/2+it) and Delta(R)
• Regularization, pseudofunction, and Hadamard finite part
• Techniques of asymptotic analysis
• On asymptotic expansions of twisted products
• A Note on Summability and Asymptotics
• Zur multiplikativen Zahlentheorie.
• Generalized Mellin Convolutions and their Asymptotic Expansions
• Regularization and distributional derivatives of ( x ₁ ² + x ₂ ² + . . . + x _p ² ) ^{–½ n} in R ^p
• A Note on Alternating Series in Several Dimensions
• Moment sequences for a certain class of distributions
• Error Bounds for Asymptotic Expansions of Integrals
• Asymptotic Expansion of Laplace Transforms about the Origin using Generalized Functions
• A distributional theory for asymptotic expansions
• On the Convergence of Alternating Double Series

This page was built for publication: The asymptotic expansion of certain series considered by ramanujan