22 citations · 64 across the 19 of their papers we have counts for
21 papers
The Multivariable Generalized Hermite-Type-Genocchi Polynomials of Order a
Roberto B. Corcino, Cristina B. Corcino
This study presents a new class of poly-Genocchi polynomials constructed through the integration of some interesting polynomials. The resulting family, referred to as the multivari…
Degenerate Hurwitz-Lerch Type Families of Poly-Bernoulli and Poly-Cauchy Numbers with Parameters $(α,a)
Noel B. Lacpao, Roberto B. Corcino
In this paper, we introduce degenerate Hurwitz-Lerch type families of poly-Bernoulli and poly-Cauchy numbers with parameters . These families are defined by means of degener…
On Divisibility Property of Type 2 -Analogue of -Whitney Numbers of the Second Kind
Roberto B. Corcino, Cristina B. Corcino
In this paper, the divisibility property of the type 2 -analogue of the -Whitney numbers of the second kind is established. More precisely, a congruence relation modulo…
Translated Logarithmic Lambert Function and its Applications to Three-Parameter Entropy
Cristina B. Corcino, Roberto B. Corcino
The translated logarithmic Lambert function is defined and basic analytic properties of the function are obtained including the derivative, integral, Taylor series expansion, real…
Hankel Transform of the First Form (q,r)-Dowling Numbers
Roberto B. Corcino
In this paper, the Hankel transform of the generalized q-exponential polynomial of the first form (q, r)-Whitney numbers of the second kind is established using the method of Cigle…
Explicit Formulas for the First Form (q,r)-Dowling Numbers and (q,r)-Whitney-Lah Numbers
Roberto B. Corcino, Jay M. Ontolan, Maria Rowena S. Lobrigas
In this paper, a q-analogue of r-Whitney-Lah numbers, also known as (q,r)-Whitney-Lah number, denoted by is defined using the triangular recurrence relation. Sever…
Logarithmic Generalization of the Lambert W function and its Applications to Adiabatic Thermostatics of the Three-Parameter Entropy
Cristina B. Corcino, Roberto B. Corcino
A generalization of the Lambert W function called the logarithmic Lambert function is found to be a solution to the thermostatics of the three-parameter entropy of classical ideal…
Some Formulae of Genocchi Polynomials of Higher Order
Cristina B. Corcino, Roberto B. Corcino, Joy Ann A. Canete
In this paper, some formulae for Genoochi polynomials of higher order are derived using the fact that sets of Bernoulli and Euler polynomials of higher order form basis for the pol…
Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c
Cristina B. Corcino, Roberto B. Corcino
In this paper, a new form of poly-Genocchi polynomials is defined by means of poly-logarithm, namely, the Apostol-type poly-Genocchi polynomials of higher order with parameters a,…
Three-Parameter Logarithm and Entropy
Cristina B. Corcino, Roberto B. Corcino
A three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the…
A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements
Sithembele Nkonkobe, Beáta Bényi, Roberto B. Corcino +1
A barred preferential arrangement is a preferential arrangement, onto which in-between the blocks of the preferential arrangement a number of identical bars are inserted. We offer…
A -Analogue of -Whitney Numbers of the Second Kind and Its Hankel Transform
Roberto B. Corcino, Jay M. Ontolan, Jennifer Cañete +1
A -analogue of -Whitney numbers of the second kind, denoted by , is defined by means of a triangular recurrence relation. In this paper, several fundamental p…
Analogies of the Qi formula for some Dowling type numbers
Roberto B. Corcino, Jeneveb T. Malusay, Joy Antonette Cillar +3
In the paper, the authors establish explicit formulas for the Dowling numbers and their generalizations in terms of generalizations of the Lah numbers and the Stirling numbers of t…
On Multi Poly-Bernoulli Polynomials
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino +1
In this paper, we define multi poly-Bernoulli polynomials using multiple polylogarithm and derive some properties parallel to those of poly-Bernoulli polynomials. Furthermore, an e…
On Generalized Multi Poly-Euler and Multi Poly-Bernoulli Polynomials
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino +1
In this paper, we establish more identities of generalized multi poly-Euler polynomials with three parameters and obtain a kind of symmetrized generalization of the polynomials. Mo…
Rook theoretic proofs of some identities related to Spivey's Bell number formula
Ken Joffaniel M. Gonzales, Roberto B. Corcino, Richell O. Celeste
We use rook placements to prove Spivey's Bell number formula and other identities related to it, in particular, some convolution identities involving Stirling numbers and relations…
Generalized -Stirling numbers and normal ordering
Roberto B. Corcino, Ken Joffaniel M. Gonzales, Richell O. Celeste
The normal ordering coefficients of strings consisting of which satisfy () are considered. These coefficients are studied in two contexts: first,…
A Note On Multi Poly-Euler Numbers And Bernoulli Polynomials
Hassan Jolany, Mohsen Aliabadi, Roberto B. Corcino +1
In this paper we introduce the generalization of Multi Poly-Euler polynomials and we investigate some relationship involving Multi Poly-Euler polynomials. Obtaining a closed formul…
More Properties on Multi Poly-Euler Polynomials
Hassan Jolany, Roberto B. Corcino
In this paper, we establish more properties of generalized poly-Euler polynomials with three parameters and we investigate a kind of symmetrized generalization of poly- Euler polyn…
Dually weighted Stirling-type sequences
Roberto B. Corcino, Ken Joffaniel M. Gonzales, Manuel Joseph C. Loquias +1
We introduce a generalization of the Stirling numbers via symmetric functions involving two weight functions. The resulting extension unifies previously known Stirling-type sequenc…
Explicit formula for generalization of Poly-Bernoulli numbers and polynomials with a,b,c parameters
Hassan Jolany, Roberto B. Corcino
In this paper we investigate special generalized Bernoulli polynomials with a,b,c parameters that generalize classical Bernoulli numbers and polynomials. The present paper deals wi…