-
121
Entire solutions of two certain Fermat-type ordinary differential equations
Published 2023-10-01“…In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^{2}=p and (a0f+a1f′)2+(a0f+a2f′)2=eg\hspace{0.39em}{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^{2}={e}^{g} in C{\mathbb{C}} by making use of the Nevanlinna theory for meromorphic functions, where a0{a}_{0}, a1{a}_{1}, and a2{a}_{2} are the complex numbers with a0≠0{a}_{0}\ne 0 and ∣a1∣+∣a2∣≠0| {a}_{1}| +| {a}_{2}| \ne 0, while pp and gg are the polynomials in C{\mathbb{C}}. …”
Get full text
Article -
122
Stringy canonical forms
Published 2021“…They are defined by real or complex integrals regulated with polynomials with exponents, and are meromorphic functions of the exponents, sharing various properties of string amplitudes. …”
Get full text
Article -
123
Stringy canonical forms
Published 2021“…They are defined by real or complex integrals regulated with polynomials with exponents, and are meromorphic functions of the exponents, sharing various properties of string amplitudes. …”
Get full text
Article -
124
Stringy canonical forms
Published 2021“…They are defined by real or complex integrals regulated with polynomials with exponents, and are meromorphic functions of the exponents, sharing various properties of string amplitudes. …”
Get full text
Article -
125
Stringy canonical forms
Published 2022“…They are defined by real or complex integrals regulated with polynomials with exponents, and are meromorphic functions of the exponents, sharing various properties of string amplitudes. …”
Get full text
Article -
126
Uniqueness of exponential polynomials
Published 2023-12-01“…This is an extension of the result obtained in an earlier study on meromorphic functions in 1974.…”
Get full text
Article