New generalizations of the zeta-function and the Tricomi funation

1Virchenko, NO
2Ponomarenko, AM
1NTU of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2National Technical University of Ukraine "Kyiv Polytechnic Institute"
Dopov. Nac. akad. nauk Ukr. 2016, 12:5-11
Section: Mathematics
Language: Ukrainian

New generalizations of the zeta-function and the Tricomi function are presented, and their main properties are studied.
These new generalizations are realized with help of the (τ, β)-generalized confluent hypergeometric function.

Keywords: confluent hypergeometric function, Tricomi function, zeta-function
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