Results 11 to 20 of about 412 (154)

Comparative growth analysis of wronskians in the light of their relative orders [PDF]

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque   +2 more
doaj   +3 more sources

Wronskians of Fourier and Laplace transforms

Transactions of the American Mathematical Society, 2019
Associated with a given suitable function, or a measure, on R \mathbb {R}
Dimitrov, Dimitar K., Xu, Yuan
openaire   +5 more sources

Growth Properties of Wronskians in the Light of Relative Order [PDF]

International Journal of Analysis and Applications, 2014
In this paper we study the comparative growth properties of composition of entire and meromorphic functions on the basis of relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Sanjib Kumar Datta, Tanmay Biswas, Golok Kumar Mondal   +2 more
doaj   +3 more sources

N-order solutions to the Gardner equation in terms of Wronskians [PDF]

Journal of Mathematical Sciences and Modelling
$N$-order solutions to the Gardner equation (G) are given in terms of Wronskians of order $N$ depending on $2N$ real parameters. We get solutions expressed with trigonometric or hyperbolic functions. When one of the parameters goes to $0$, we succeed to
Pierre Gaillard
doaj   +2 more sources

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

Mathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +2 more sources

Factoring linear differential operators on measure chains

Journal of Inequalities and Applications, 2001
We extend to measure chains Abel's theorem, the existence of a set of positive Wronskians, and the Polya and Trench factorizations of disconjugate linear -differential operators.
Mathsen Ronald M, Erbe Lynn H, Peterson Allan   +2 more
doaj   +1 more source

An Extension of the Abel–Liouville Identity

Annales Mathematicae Silesianae, 2022
In this note, we present an extension of the celebrated Abel– Liouville identity in terms of noncommutative complete Bell polynomials for generalized Wronskians.
Páles Zsolt, Zakaria Amr
doaj   +1 more source

Quasi-Rational and Rational Solutions to the Defocusing Nonlinear Schrödinger Equation

Journal of Mathematical Sciences and Modelling, 2022
Quasi-rational solutions to the defocusing nonlinear Schrödinger equation (dNLS) in terms of wronskians and Fredholm determinants of order $2N$ depending on $2N-2$ real parameters are given.
Pierre Gaillard
doaj   +1 more source

Finiteness of rank for Grassmann convexity

Comptes Rendus. Mathématique, 2023
The Grassmann convexity conjecture, formulated in [8], gives a conjectural formula for the maximal total number of real zeroes of the consecutive Wronskians of an arbitrary fundamental solution to a disconjugate linear ordinary differential equation with
Saldanha, Nicolau, Shapiro, Boris, Shapiro, Michael   +2 more
doaj   +1 more source

Generalized (α,β) order based on some growth properties of wronskians

Математичні Студії, 2020
In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their generalized (α,β) order and generalized lower (α,β) order of Wronskians generated by entire and meromorphic functions have been ...
T. Biswas, C. Biswas
doaj   +1 more source