Simple conditions for parametrically excited oscillations of generalized Mathieu equations
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DOI: 10.1016/j.jmaa.2016.07.013
Abstract: Abstract The following equation is considered in this paper: x ″ + ( − α + β cos ( γ t ) ) x = 0 , where α, β and γ are real… read more here.
Keywords: oscillations generalized; excited oscillations; conditions parametrically; parametrically excited ... See more keywords
On generalized Mathieu series and its companions
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DOI: 10.15672/hjms.2018.579
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… read more here.
Keywords: series companions; mathieu series; series; generalized mathieu ... See more keywords
Generalized Fractional Integral Operators Pertaining to the Product of Srivastava’s Polynomials and Generalized Mathieu Series
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DOI: 10.3390/math7020206
Abstract: Fractional calculus image formulas involving various special functions are important for evaluation of generalized integrals and to obtain the solution of differential and integral equations. In this paper, the Saigo’s fractional integral operators involving hypergeometric… read more here.
Keywords: fractional integral; generalized mathieu; integral operators; product ... See more keywords