Results 1 to 10 of about 63 (58)

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

Generalizations of two identities of Guo and Yang

open access: yesQuaestiones Mathematicae, 2018
In this paper, we provide generalizations of two identities of Guo and Yang [2] for the q-binomial coefficients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions.
Mircea Merca
exaly   +1 more source

New subclasses of bi-univalent functions connected with a q-analogue of convolution based upon the Legendre polynomials [PDF]

open access: yes, 2023
In this paper, we introduce new subclasses of analytic and bi-univalent functions connected with a q-analogue of convolution by using the Legendre poly- nomials.
EL-MATARY, Bassant M., EL-DEEB, Sheza M.
core   +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 some conjectures on the monotonicity of some arithmetical sequences [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: Primary 11B65, 11B68, 05A10; Secondary 11B83.Here, we prove some conjectures on the monotony of combinatorial and number– theoretical sequences from a recent paper of Zhi–Wei ...
Luca, Florian, Stănică, Pantelimon
core   +2 more sources

Evaluation of integrals with hypergeometric and logarithmic functions

open access: yesOpen Mathematics, 2018
We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
doaj   +1 more source

Netted matrices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2507-2518, 2003., 2003
We prove that powers of 4‐netted matrices (the entries satisfy a four‐term recurrence δai,j = αai−1,j + βai−1,j + γai,j−1) preserve the property of nettedness: the entries of the eth power satisfy δeai,j(e)=αeai−1,j(e)+βeai−11,j−(e)+γeai,j−1(e), where the coefficients are all instances of the same sequence xe+1 = (β + δ)xe − (βδ + αγ)xe−1.
Pantelimon Stănică
wiley   +1 more source

The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator [PDF]

open access: yes, 2018
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain q-integral operator in the open unit disk U = {z : z ∈ Cand |z| < 1}.
KHAN, Nazar   +3 more
core   +1 more source

Power sums in hyperbolic Pascal triangles

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to –4, q} with q ≥ 5. The method is based on the theory of linear recurrences, and the results are demonstrated by
Németh László, Szalay László
doaj   +1 more source

On three-dimensional q-Riordan arrays

open access: yesDemonstratio Mathematica
In this article, we define three-dimensional q-Riordan arrays and q-Riordan representations for these arrays. Also, we give four cases of infinite multiplication three-dimensional matrices of these arrays.
Fang Gang   +4 more
doaj   +1 more source

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