Results 11 to 20 of about 63 (58)
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +3 more
wiley +1 more source
A q-Rogers–Ramanujan-based characterization of q-bi-bounded turning functions
Demonstratio MathematicaThis study investigates the second Hankel determinant for a specific class of functions associated with the q-Rogers–Ramanujan polynomial. To accomplish this, we introduce a new subclass of q-bounded turning functions related to the q-Rogers–Ramanujan ...
Khan Bilal +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
Series of convergence ratios “±427 $\frac{{\pm}4}{27}$ ” containing harmonic numbers
Demonstratio MathematicaThree accelerating transformation formulae for hypergeometric series are systematically analyzed by the “coefficient extraction method”. Numerous harmonic series of convergence ratios “±427 $\frac{{\pm}4}{27}$ ” are evaluated in closed form, which fills ...
Li Chunli, Chu Wenchang
doaj +1 more source
Integral identities for rational series involving binomial coeefficients
, 2011 We establish integral identities for series involving binomial coefficients. Using the identities, in some cases, we demonstrate they may be represented in closed form of rational type.
Husna Zayadi
core
Some theorems on the q-analogue of the generalized stirling numbers
, 2011 In this paper, we establish more properties for the q-analogue of the unied generalization of Stirling numbers including the vertical and horizontal recurrence relations, and the rational generating function.
Husna Zayadi
core
Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type
, 1994 New short and easy computer proofs of finite versions of the Rogers-Ramanujan identities and of similar type are given. These include a very short proof of the first Rogers-Ramanujan identity that was missed by computers, and a new proof of the well ...
Peter Paule
core
Some <i>q</i>-supercongruences modulo the square and cube of a cyclotomic polynomial. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2021 Guo VJW, Schlosser MJ.
europepmc +1 more source
Weighted cylindric partitions. [PDF]
J Algebr Comb (Dordr), 2022 Bridges W, Uncu AK.
europepmc +1 more source