Results 11 to 20 of about 59 (56)

The number of reduced alignments between two DNA sequences. [PDF]

BMC Bioinformatics, 2014
Background In this study we consider DNA sequences as mathematical strings. Total and reduced alignments between two DNA sequences have been considered in the literature to measure their similarity.
Andrade H, Area I, Nieto JJ, Torres A.
europepmc   +2 more sources

Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane [PDF]

, 2020
The main purpose of this investigation is to specify an extensive relation between the hypergeometric functions and the hypergeometric equations in the complex plane and then to point various implications of our main result, conclusion and also ...
IRMAK, Hüseyin
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Certain Laplace transforms of convolution type integrals involving product of two special pFp functions

Demonstratio Mathematica, 2018
Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272].
Milovanović Gradimir V., Parmar Rakesh K., Rathie Arjun K.   +2 more
doaj   +1 more source

Solution of Euler-Type Non-Homogeneous Differential Equations with Three Fractional Derivatives [PDF]

, 2008
The linear non-homogeneous ordinary differential equations with three left-hand sided Lioville derivatives of fractional order are considered. Using the direct and inverse Mellin transforms and the residue theory, explicit solutions of such equations are
Kilbas, A. A., Zhukovskaya, N. V.
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Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak, B. K. Tripathi, Biniyam Shimelis   +2 more
doaj   +1 more source

A Unified Group-Theoretic Method on Improper Partial Semi-Bilateral Generating Functions [PDF]

, 2008
2000 Mathematics Subject Classification: 33A65, 33C20.A unifed group-theoretic method of obtaining more general class of generating functions from a given class of improper partial semi-bilateral generating functions involving Laguerre and Gegenbauer ...
Sarkar, Asit Kumar
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On the Generalized Associated Legendre Functions [PDF]

, 2008
Mathematics Subject Classification: 33C60, 33C20, 44A15This paper is devoted to an important case of Wright’s hypergeometric function 2Fτ,β1(a, b; c; z) = 2Fτ,β1(z), to studying its basic properties and to application of 2Fτ,β1(z) to the generalization ...
Virchenko, Nina, Rumiantseva, Olena
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Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]

, 2005
Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
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Solutions of certain initial-boundary value problems via a new extended Laplace transform

Nonlinear Engineering
In this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya, Akel Mohamed, Abdalla Mohamed   +2 more
doaj   +1 more source

Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]

, 2007
Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Zivorad Tomovski, Tomovski, Živorad
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