F. Ghanim, "New Study of Classes of Hurwitz-Zeta Function Related to Integral Operator," WSEAS Transactions on Mathematics, vol. 13, pp. 477-483, 2014, DOI:
F. Ghanim. New Study of Classes of Hurwitz-Zeta Function Related to Integral Operator.
WSEAS Transactions on Mathematics. 2014;13:477-483.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
New Study of Classes of Hurwitz-Zeta Function Related to Integral Operator
Author:
Abstract: By means of the Hadamard product, the present paper introduces new classes, $$Σ_{a}^{t*} (α, β, ρ)$$ and $$Σ_{a}^{t} (α, β, ρ)$$ of Hurwitz-Lerch-Zeta function in the punctured disk $$U^{∗} = \{z : 0 < |z| < 1\}$$. In addition, the study investigates a number of inclusion relationships, properties and derives some interesting properties depending on some integral properties.
Keywords:
Analytic function, Convex function, Meromorphic function, Hurwitz Zeta function, Linear operator, Hadamard product, Functions with positive real part, Integral operator
Pages: 477-483 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #46 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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