ON ZETA AND DIRICHLET BETA FUNCTION FAMILIES AS GENERATORS OF GENERALIZED MATHIEU SERIES, PROVIDING APPROXIMATION AND BOUNDS
نویسندگان
چکیده
Integral representations for a generalized Mathieu series and its companions are used to undertake analysis leading novel insights Zeta Dirichlet Beta function families. The bounds procured using sharp of family procure approximating utilising integral representation results in particular Hardy-type upper bounds.
منابع مشابه
Accurate Approximation of a Generalized Mathieu Series
New, accurate lower and upper bounds for the sum of the generalized Mathieu series ∞ ∑ k=1 2k (k2 + x2) , p > 0,
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ژورنال
عنوان ژورنال: Facta Universitatis
سال: 2022
ISSN: ['1820-6425', '1820-6417']
DOI: https://doi.org/10.22190/fumi210519018c