3 citations · 5 across the 3 of their papers we have counts for
7 papers
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…
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…