Results 1 to 10 of about 686 (63)
An Application of Fuzzy Multiple Linear Regression in Biological Paradigm
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
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
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
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
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
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
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
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
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
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

