Results 1 to 10 of about 686 (63)

An Application of Fuzzy Multiple Linear Regression in Biological Paradigm

open access: yesComplexity, 2022
The regression model is generally utilized in several fields of study because of its applications. Regression is an extremely incredible approach; it builds up a connection between dependent and independent variables.
Saima Mustafa   +6 more
doaj   +3 more sources

Hagen–Rothe Convolution Identities Through Lagrange Interpolations

open access: yesDiscrete Mathematics Letters, 2023
New proofs of Hagen–Rothe identities concerning binomial convolutions are presented through Lagrange interpolations. Keywords: Chu–Vandermonde formula; Hagen–Rothe identities; finite difference; Lagrange interpolation.
W. Chu
semanticscholar   +1 more source

Pythagorean Relation In Triangles and Fermat’s Last Theorem

open access: yesJournal of Applied Mathematics & Bioinformatics, 2023
This paper derives n-th Pythagorean relation from the edges of right triangle and the result be applied to other triangles as well as with the properties of binomial equations to discover the truly marvelous proof of Fermat’s Last Theorem which the ...
R. Talukder
semanticscholar   +1 more source

Compositions of positive integers with 2s and 3s

open access: yesDemonstratio Mathematica, 2023
In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions.
Dişkaya Orhan, Menken Hamza
doaj   +1 more source

On the generalized Apostol-type Frobenius-Euler polynomials

open access: yesAdvances in Differential Equations, 2013
The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative integers. Furthermore,
Burak Kurt, Y. Simsek
semanticscholar   +2 more sources

Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli

open access: yesJournal of Mathematical Inequalities, 2020
In this paper, we use q -derivative operator to define a new subclass of starlike functions related with the lemniscate of Bernoulli. For this function class we obtain upper bound of the third Hankel determinant.
N. Khan   +4 more
semanticscholar   +1 more source

Further Equivalent Binomial Sums

open access: yes, 2021
Five binomial sums are extended by a free parameter m, that are shown, through the generating function method, to have the same value. These sums generalize the ones by Ruehr (1980), who discovered them in the study of two unexpected equalities between ...
Mei Bai, W. Chu
semanticscholar   +1 more source

Extended p-adic q-invariant integrals on Zp associated with applications of umbral calculus

open access: yesAdvances in Differential Equations, 2013
The fundamental aim of this paper is to consider some applications of umbral calculus by utilizing from the extended p-adic q-invariant integral on Zp.
S. Araci, M. Acikgoz, Adem Kılıçman
semanticscholar   +2 more sources

A certain class of analytic functions of complex order connected with a q-analogue of integral operators

open access: yes, 2020
In this paper, we introduce a certain class H λ,α m,q (ζ,M ) of normalized analytic functions of complex order connected with a q-analogue of integral operators. For this complex-order analytic function class, we determine a sufficient condition in terms
H. Srivastava, S. El-Deeb
semanticscholar   +1 more source

Sums of products of the degenerate Euler numbers

open access: yesAdvances in Differential Equations, 2014
The paper focuses on the degenerate Euler numbers, the degenerate Euler polynomials and the degenerate Bernoulli polynomials. By adopting the method of recurrences, two explicit expressions have been established for sums of products of the degenerate ...
Ming Wu, H. Pan
semanticscholar   +2 more sources

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