Inequalities for formal power series and entire functions

DOI10.1016/J.JMAA.2007.06.038zbMath1149.30002OpenAlexW2011842512MaRDI QIDQ2473988

Arcadii Z. Grinshpan

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.06.038

zbMATH Keywords

Hadamard productLaguerre polynomialsBessel functionsentire functions of exponential typeintegral operatorsconvolutionsexponential inequalitiesintegral inequalitiesconfluent hypergeometric functionstrigonometric inequalitiesBorel-associated functions

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities in the complex plane (30A10)

Related Items (11)

Volterra convolution equations: solution–kernel connection ⋮ Weighted convolutions associated with probability functions and Bernstein polynomials ⋮ Generalized hypergeometric functions: product identities and weighted norm inequalities ⋮ An inequality for multiple convolutions with respect to Dirichlet probability measure ⋮ Weighted norm inequalities for convolutions, differential operators, and generalized hypergeometric functions ⋮ Weighted inequalities and negative binomials ⋮ Weighted integral and integro-differential inequalities ⋮ Formulas and Inequalities for Some Special Functions of a Complex Variable ⋮ A family of integral equations with restricted solutions ⋮ Power series inequalities via Buzano's result and applications ⋮ Power series inequalities via a refinement of the Schwarz inequality

Cites Work

• Weighted norm inequalities for analytic functions
• General inequalities, consequences and applications
• Inequalities generated by the gamma function
• An integral recursive inequality and applications
• Integral inequalities for some special functions
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