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THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2004
Summary: A generalised integration by parts formula for sequen-ces of absolutely continuous functions that satisfy the \(w-\)Appell condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.
exaly   +3 more sources

A family of definite integrals involving Legendre’s polynomials [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The main objective of this article is to provide the analytical solutions (not previously found and not available in the literature) of some problems related with definite integrals integrands of which are the products of the derivatives of Legendre’s ...
M.I. Qureshi, S.H. Malik, D. Ahmad
doaj   +2 more sources

Basic Fundamental Formulas for Wiener Transforms Associated with a Pair of Operators on Hilbert Space

open access: yesMathematics, 2021
Segal introduce the Fourier–Wiener transform for the class of polynomial cylinder functions on Hilbert space, and Hida then develop this concept. Negrin define the extended Wiener transform with Hayker et al. In recent papers, Hayker et al. establish the
Hyun Soo Chung
doaj   +1 more source

Integrability Formulas. Part III [PDF]

open access: yesFormalized Mathematics, 2010
Integrability Formulas. Part III In this article, we give several differentiation and integrability formulas of composite trigonometric function.
Li, Bo, Ma, Na
openaire   +2 more sources

Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

open access: yesAxioms, 2022
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine   +3 more
doaj   +1 more source

Integrability Formulas. Part I [PDF]

open access: yesFormalized Mathematics, 2010
Integrability Formulas. Part I In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, and the polynomial function.
Li, Bo, Ma, Na
openaire   +2 more sources

Integrability Formulas. Part II [PDF]

open access: yesFormalized Mathematics, 2010
Integrability Formulas. Part II In this article, we give several differentiation and integrability formulas of special and composite functions including trigonometric function, and polynomial function.
Li, Bo, Ma, Na, Liang, Xiquan
openaire   +2 more sources

Nonexistence of global solutions for a Hilfer–Katugampola fractional differential problem

open access: yesPartial Differential Equations in Applied Mathematics, 2023
The aim of this paper is to investigate the absence of global solutions for a fractional differential problem involving a generalized Katugampola derivative.
Sandeep P. Bhairat, Mohammad E. Samei
doaj   +1 more source

New Method of Sensitivity Computation Based on Markov Models with Its Application for Risk Management

open access: yesJournal of Mathematics, 2022
Sensitivity analysis is at the core of risk management for financial engineering; to calculate the sensitivity with respect to parameters in models with probability expectation, the most traditional approach applies the finite difference method ...
Zheng Gu, Yue Liu, Aijun Yang, Kaodui Li
doaj   +1 more source

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