Results 11 to 20 of about 28 (27)
Compositions of positive integers with 2s and 3s
Demonstratio 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
Evaluation of integrals with hypergeometric and logarithmic functions
Open 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
Power sums in hyperbolic Pascal triangles
Analele 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
Demonstratio MathematicaIn 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
A new family of multivalent functions defined by certain forms of the quantum integral operator
Demonstratio MathematicaIn this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal +5 more
doaj +1 more source
Some new transformations for Bailey pairs and WP-Bailey pairs
Open Mathematics, 2010 Mc Laughlin James
doaj +1 more source
On a ratio monotonicity conjecture of a new kind of numbers. [PDF]
J Inequal Appl, 2018 Sun BY.
europepmc +1 more source
Mock theta functions and Appell-Lerch sums. [PDF]
J Inequal Appl, 2018 Chen B.
europepmc +1 more source
A remarkable basic hypergeometric identity. [PDF]
Ramanujan JKrattenthaler C, Zudilin W.
europepmc +1 more source
A new family of <i>q</i>-hypergeometric congruences from Andrews' multi-series transformation. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatGuo VJW, Schlosser MJ.
europepmc +1 more source