Inequalities for Some Integrals Involving Modified Lommel Functions of the First Kind
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DOI: 10.1007/s00025-019-1136-2
Abstract: In this paper, we obtain inequalities for some integrals involving the modified Lommel function of the first kind$$t_{\mu ,\nu }(x)$$tμ,ν(x). In most cases, these inequalities are tight in certain limits. We also deduce a tight… read more here.
Keywords: first kind; integrals involving; involving modified; inequalities integrals ... See more keywords
Refinements of bullen-type inequalities for s–convex functions via Riemann-Liouville fractional integrals involving Gauss hypergeometric function
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DOI: 10.1080/09720502.2019.1698803
Abstract: Abstract In this paper, the author establishes a new identity for differentiable functions and obtain some new inequalities for differentiable functions based on s–convexity via Riemann-Liouville fractional integrals involving Gauss hypergeometric function. read more here.
Keywords: integrals involving; involving gauss; fractional integrals; liouville fractional ... See more keywords
TM Electromagnetic Scattering from PEC Polygonal Cross-Section Cylinders: A New Analytical Approach for the Efficient Evaluation of Improper Integrals Involving Oscillating and Slowly Decaying Functions
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DOI: 10.1155/2019/7902836
Abstract: The analysis of the TM electromagnetic scattering from perfectly electrically conducting polygonal cross-section cylinders is successfully carried out by means of an electric field integral equation formulation in the spectral domain and the method of… read more here.
Keywords: improper integrals; integrals involving; section cylinders; polygonal cross ... See more keywords
Properties for ψ-Fractional Integrals Involving a General Function ψ and Applications
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DOI: 10.3390/math7060517
Abstract: In this paper, we are concerned with the ψ-fractional integrals, which is a generalization of the well-known Riemann–Liouville fractional integrals and the Hadamard fractional integrals, and are useful in the study of various fractional integral… read more here.
Keywords: involving general; integrals involving; properties fractional; fractional integrals ... See more keywords