Results 51 to 60 of about 118 (98)

Asymptotic approximations of Apostol-Frobenius-Euler polynomials of order α in terms of hyperbolic functions

Demonstratio Mathematica
The study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B., Castañeda Wilson D., Corcino Roberto B.   +2 more
doaj   +1 more source

Bounds for the k-term Zeckendorf representations of Tribonacci-Lucas numbers with explicit results

Annals of the West University of Timisoara: Mathematics and Computer Science
Zeckendorf proved that every positive integer has a unique representation as a sum of non-consecutive Fibonacci numbers. In this paper, we applied the linear forms in logarithms to the Zeckendorf representation of the Tribonacci-Lucas sequences to find ...
Ousseni Awaou Lare, Odjoumani Japhet, Degla Guy   +2 more
doaj   +1 more source

In Search of the Truly Marvelous Proof

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a,b, and c satisfy the equation a^n+b^n=c^n for any integer n>2.
Charles Kusniec
core   +1 more source

Proving Fermat’s Last Theorem Using Partial Differences of Powers and the Binomial Theorem

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer n > 2.
Charles Kusniec
core   +1 more source

On two-parameter telephone polynomials and their structural properties

Nuclear Physics B
In this paper, we investigate the structural and analytic properties of the two-parameter telephone polynomials. Starting from the exponential generating function and the recurrence relation, we derive an explicit formula, an operational representation ...
Carlos M. da Fonseca, Can Kızılateş, Yasin Ünsal   +2 more
doaj   +1 more source

Probabilistic r-Whitney Genocchi and r-Dowling Genocchi polynomials

Mathematical and Computer Modelling of Dynamical Systems
In this paper, we introduce and systematically study two new families of generalised Genocchi polynomials, namely the r-Whitney Genocchi polynomials and the r-Dowling Genocchi polynomials.
Sihyeon Lee, Li Chen
doaj   +1 more source

A class of optimal frequency hopping sequences based on the decimated m-sequences

, 2023
Qingru Qin, Wei Su, Jianpeng Wang
core   +1 more source

On a generalization of derangement polynomials and numbers

Demonstratio Mathematica
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

An Examination for the Intersection of Two Ruled Surfaces

, 2023
Emel Karaca
core   +1 more source