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
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Interdisciplinary Mathematics"
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
On some integrals involving the inverse tangent integrals
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DOI: 10.1080/10652469.2024.2440717
Abstract: In this paper, we obtain closed formulas for integrals involving the inverse tangent integral functions. The integrals are evaluated in terms of special functions and specific values of the Riemann zeta function and the Dirichlet… read more here.
Keywords: inverse tangent; tangent integrals; integrals involving; involving inverse ... 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
Unified finite integrals involving multivariable 𝐴-functions and hypergeometric functions
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DOI: 10.1515/anly-2024-0123
Abstract: Abstract In this paper, we established new results of the product of a hypergeometric function with the multivariable 𝐴-function by applying definite integrals. Several other new and known results can be obtained from our main… read more here.
Keywords: finite integrals; multivariable functions; involving multivariable; unified finite ... See more keywords
Some definite integrals involving elliptic integrals in association with hypergeometric functions
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DOI: 10.2298/fil2411719s
Abstract: In this paper, the authors make use of the Gamma function as well as the hypergeometric and the generalized hypergeometric functions in order to investigate and develop several definite integrals involving the elliptic integrals of… read more here.
Keywords: elliptic integrals; hypergeometric functions; integrals association; involving elliptic ... 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