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
A Numerical Method for Solving Fredholm Integral Equations of the First Kind with Logarithmic Kernels and Singular Unknown Functions
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DOI: 10.1007/s40819-020-00923-1
Abstract: In this paper, we present a numerical method for solving singular Fredholm integral equations of the first kind. The method is based on the application of the shifted Chebyshev polynomials of the second kind using two techniques.… read more here.
Keywords: kind; method; equations first; first kind ... See more keywords
Exact p-adic valuations of Stirling numbers of the first kind
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DOI: 10.1016/j.jnt.2017.01.023
Abstract: Abstract For any positive integer k and prime p, we define an explicit set A k , p of positive integers n, having positive upper and lower density, on which the p-adic valuation of the… read more here.
Keywords: exact adic; kind; stirling numbers; valuations stirling ... See more keywords
Controllability and Optimal Controllability for Operator Equations of the First Kind in (B)-Spaces: Examples for ODE in $${{\mathbb{R}}^{n}}$$
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DOI: 10.1134/s1064562419020091
Abstract: For control and observation problems considered for operator equations of the first kind in Banach spaces, an controllability criterion is stated. In the case of reflexive strictly convex (B)-spaces, the BUME method and the method… read more here.
Keywords: controllability; first kind; operator equations; equations first ... See more keywords
Posterior urethral valve associated with a foreign body in posterior urethra: a first of its kind report
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DOI: 10.1136/bcr-2018-226257
Abstract: Posterior urethral valve and foreign body are among the important causes of male urethral obstruction. Although one is congenital and the other is acquired, both entities are rare in children with only a few reported… read more here.
Keywords: urethral valve; foreign body; body posterior; first kind ... See more keywords
Constructive method for solvability of Fredholm equation of the first kind
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DOI: 10.14232/ejqtde.2017.1.45
Abstract: The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem. We note the following… read more here.
Keywords: first kind; solvability; equation first; method ... See more keywords
Exceptional points for finitely generated Fuchsian groups of the first kind
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DOI: 10.1515/advgeom-2019-0013
Abstract: Abstract Let G be a finitely generated Fuchsian group of the first kind and let (g : m1, m2, …, mn) be its shortened signature. Beardon showed that almost every Dirichlet region for G has… read more here.
Keywords: exceptional points; finitely generated; generated fuchsian; first kind ... See more keywords
Note on the Higher-Order Derivatives of the Hyperharmonic Polynomials and the r-Stirling Polynomials of the First Kind
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DOI: 10.3390/axioms11040167
Abstract: In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the… read more here.
Keywords: first kind; hyperharmonic polynomials; higher order; kind ... See more keywords
Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering
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DOI: 10.3390/math9161905
Abstract: The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems. The main focus of the work is… read more here.
Keywords: power; equations first; first kind; inverse problems ... See more keywords
Geometric Properties of Lommel Functions of the First Kind
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DOI: 10.3390/sym10100455
Abstract: In the present paper, we find sufficient conditions for starlikeness and convexity of normalized Lommel functions of the first kind using the admissible function methods. Additionally, we investigate some inclusion relationships for various classes associated… read more here.
Keywords: lommel functions; convex functions; first kind; functions first ... See more keywords
A Septuple Integral of the Product of Three Bessel Functions of the First Kind Jα(tβ)Jγ(xδ)Jη(yθ): Derivation and Evaluation over General Indices
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DOI: 10.3390/sym14040730
Abstract: Closed expressions for a number of septuple integrals involving the product of three Bessel functions of the first kind Jα(tβ)Jγ(xδ)Jη(yθ) when the orders α,γ,η are large, are derived in terms of the Hurwitz–Lerch zeta function… read more here.
Keywords: first kind; bessel functions; functions first; product three ... See more keywords