On Mathieu-Type Series with (p,ν)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds
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DOI: 10.3390/math11071710
Abstract: Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,ν)-extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu-type series with… read more here.
Keywords: mathieu type; type series; hypergeometric terms; series extended ... See more keywords
Bi-Starlike Function of Complex Order Involving Mathieu-Type Series Associated with Telephone Numbers
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DOI: 10.3390/sym15030638
Abstract: For the first time, we attempted to define two new sub-classes of bi-univalent functions in the open unit disc of the complex order involving Mathieu-type series, associated with generalized telephone numbers. The initial coefficients of… read more here.
Keywords: mathieu type; order involving; complex order; type series ... See more keywords
New inequalities for some generalized Mathieu type series and the Riemann zeta function
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DOI: 10.7153/jmi-2018-12-13
Abstract: Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turán type inequalities and some monotonicity and log-convexity results for… read more here.
Keywords: zeta function; series riemann; type series; riemann zeta ... See more keywords
Geometric properties of Mathieu-type power series inside unit disk
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DOI: 10.7153/jmi-2019-13-64
Abstract: In the present investigation we study normalized Mathieu-type power series and find sufficient conditions, so that the normalized Mathieu-type power series have certain geometric properties like close-to-convexity and starlikeness inside the unit disc. Mathematics subject… read more here.
Keywords: geometric properties; type power; mathieu type; power series ... See more keywords