On generalized Mathieu series and its companions

Yıl 2019, Cilt: 48 Sayı: 5, 1367 - 1387, 08.10.2019

P. Cerone C. Lenard

Öz

Integral representations for a generalized Mathieu series and its companions are used to obtain bounds for their corresponding series. The bounds are procured mainly using results pertaining to the Čebyšev functional. The relationship to Zeta type functions are also examined. It is demonstrated that the Zeta companion relations are a particular case of the generalised Mathieu companions.

Anahtar Kelimeler

companion generalized Mathieu series, identities and bounds, Čebyšev functional, Zeta function companion relations

Kaynakça

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