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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 Cebysev… Click to show full abstract
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 Cebysev 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.
Keywords:
series companions;
mathieu series;
series;
generalized mathieu
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2018
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!