Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers

DOI10.1186/S13660-018-1722-YzbMath1497.30011OpenAlexW2806987730WikidataQ55315215 ScholiaQ55315215MaRDI QIDQ824589

Serkan Araci, Mehmet Acikgoz

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1722-y

zbMATH Keywords

generating functionBernoulli numbersmeromorphic functionPoisson-Jensen formulanormal functionNevanlinna characteristic functionassociated Euler numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Normal functions of one complex variable, normal families (30D45) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (2)

Differential inequalities for spirallike and strongly starlike functions ⋮ Value distribution of meromorphic functions concerning rational functions and differences

Cites Work

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• Characteristic function of a meromorphic function and its derivatives
• Entire solutions of certain type of differential equations. II
• On meromorphic solutions of a certain type of nonlinear differential equations
• Some new formulae for Genocchi numbers and polynomials involving Bernoulli and Euler polynomials
• Entire solutions of certain type of differential equations
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials

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