Results 21 to 30 of about 53,283 (278)
More Trigonometric Integrals [PDF]
Mathematics of Computation, 1984 Integrals of the form \[ ∫ 0 π / 2 e i p θ cos
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On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions
Mathematics, 2022 In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza +4 more
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Elliptic and K-theoretic stable envelopes and Newton polytopes [PDF]
, 2018 In this paper we consider the cotangent bundles of partial flag varieties. We construct the $K$-theoretic stable envelopes for them and also define a version of the elliptic stable envelopes. We expect that our elliptic stable envelopes coincide with the
Rimányi, R., Tarasov, V., Varchenko, A.
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Rational Interpolation and Approximate Solution of Integral Equations [PDF]
, 2012 In the space of continuous periodic functions, we construct interpolation rational operators, use them to obtain quadrature formulas with positive coefficients which are exact on rational trigonometric functions of order 2n, and suggest an algorithm for ...
Гриб, Николай Васильевич +1 more
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Integrability of trigonometric series III [PDF]
Bulletin of the Australian Mathematical Society, 1971 Ralph P. Boas, Jr, proved the following theorem: Let g be an odd function, integrable on (0, π) and periodic with period 2π, and its Fourier series be Σ bn sinnt. If 0 < r < 1 and bn ≥ 0 b > for all n, then t−rg(t) ∈ L(0, π) if and only if the series Σ bn/n1−r converges. Philip Heywood asked whether the conditions g(t) ∈ L(0, π) and bn ≥ 0 can
Izumi, Masako, Izumi, Shin-ichi
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q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory
Journal of Inequalities and Applications, 2020 In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types.
Shrideh Khalaf Al-Omari
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Abstract and Applied Analysis, 2022 In this article, we study and investigate the analytical solutions of the space-time nonlinear fractional modified KDV-Zakharov-Kuznetsov (mKDV-ZK) equation.
Mohamed A. Abdoon +2 more
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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On quadruple integral equations involving trigonometric kernels
International Journal of Mathematics and Mathematical Sciences, 1997 A general technique is developed for the solution of quadruple integral equations involving trigonometric kernels. Four such sets are solved explicitly. Application is made to the problem of three-collinear cracks in linear plane elasticity.
B. D. Aggarwala
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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