Results 181 to 190 of about 7,066 (206)

Transformations of Heun’s equation

1995
Abstract The equation (1.1.1) is taken as the canonical form of Heun’s equation, but in order to investigate it, or to make use of it in applications, we often need to transform it into other forms. This chapter is devoted to such transformations.
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The Heun Class Of Equations

2000
Abstract The Heun class of linear second-order ODEs is generated by the Heun equation –the Fuchsian equation with four singularities. The Heun equation was first studied by K. Heun [51]. A hundred years later, a centennial workshop on the Heun equation was organized by A. Ronveaux, A. Seeger, and W.
Sergei yu. Slavyanov, Wolfgang Lay, Alfred Seeger   +2 more
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General features of Heun’s equation

1995
Abstract The seven parameters are not all on the same footing. The parameter a locates the third finite singularity and can appropriately be called the singularity parameter, while α, β, γ, δ, ϵdetermine (subject to (1.1.2)) the exponents at the four singularities and can be called the exponent parameters; finally, q is called the ...
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Painlevé equations as classical analogues of Heun equations

Journal of Physics A: Mathematical and General, 1996
Summary: A relationship between the Heun class of second-order linear equations and Painlevé second-order nonlinear equations is studied. The symbol of the Heun class equations is regarded as a quantum Hamiltonian. The independent variable and the differentiation operator correspond to the canonical variables and one of the parameters of the equation ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Solutions of the confluent Heun equation

1995
Abstract We present a draft classification of solutions of the GSE (1.2.18) and the CHE (1.2.27). These solutions are analytical functions of the independent variable on a Riemannian surface with punctured singularities of the CHE. The first type of solutions are those which have prescribed behaviour at a certain singular point.
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INTEGRAL EQUATIONS FOR HEUN FUNCTIONS

The Quarterly Journal of Mathematics, 1942
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
exaly  

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg, William L Hwang, Anirban Maitra   +2 more
exaly  

Oral complications of cancer and cancer therapy

Ca-A Cancer Journal for Clinicians, 2012
Joel B Epstein, Rene-Jean Bensadoun, Andrei Barasch   +2 more
exaly