Results 71 to 80 of about 1,020 (214)

On the ψ− Sheffer F− Polynomials and Their Degenerate Matrices

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we systematically construct a novel framework within umbral calculus by integrating the structures of generalized F‐calculus and degenerate sequences. Utilizing Roman’s foundational approach to umbral calculus, we first introduce a new family of ψ − F− linear functionals and their corresponding ψ − F− differential operators on the ...
Semra Kuş, Smritijit Sen
wiley   +1 more source

Wronskian determinants and the zeros of certain functions [PDF]

open access: yes, 1975
By relating the problem to the study of the number of zeros of certain wronskian determinants, estimates are found for the number of zeros on the real line of functions of a certain class.
Poorten, AJ Alfred = Alf van der   +5 more
core   +1 more source

On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

open access: yesDemonstratio Mathematica, 2023
The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

Determinantal evaluation of four Wronskian matrices

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2021
UDC 517.5 Two determinants of Wronskian matrices are evaluated when the matrix rows are partitioned into blocks.Analogous formulae are derived for the matrices involving compositions of formal power series as entries.  
openaire   +1 more source

Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15875-15889, 30 November 2025.
ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
wiley   +1 more source

Wronskian formulation and Ansatz method for bad Boussinesq equation

open access: yes, 2016
In this work, two variants of the bad Boussinesq equation are studied. A Wronskian formulation is constructed for the solutions of the first equation.
Nguyen, Lu Trong Khiem
core   +1 more source

Gegenbaver polinomlarının sıfır yerleri ve wronskian operatör metodu

open access: yes, 1997
GEGENBAUER POLINOMLARININ SIFIR YERLERİ VE WRONSKIAN OPERATÖR METODU (Doktora Tezi) Sedat ÇEVİKEL GAZI ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ Ocak 1997 OZ Bu çalışmada, diferensiyel denklemlerin çözümleri olan kompleks değişkenli ortogonal.polinomların ...
SEDAT ÇEVİKEL
core   +1 more source

Quantum relativistic Toda chain

open access: yesJournal of Applied Mathematics, 2001
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle.
G. Pronko, Sergei Sergeev
doaj   +1 more source

On real and imaginary roots of generalised Okamoto polynomials

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley   +1 more source

Solutions to the Sine-Gordon Equation: From Darboux Transformations to Wronskian Representations of the k-Negaton-l-Positon-n-Soliton Solutions

open access: yesAxioms
With a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
doaj   +1 more source

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