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Subjects
33-XX Special functions ( deals with the properties of functions as functions)
33Cxx Hypergeometric functions
33C05 Classical hypergeometric functions, $_{2} F_{1}$

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Displaying 161 – 167 of 167

Zeros of a certain class of Gauss hypergeometric polynomials

Addisalem Abathun, Rikard Bøgvad (2018)

Czechoslovak Mathematical Journal

We prove that as $n \to \infty$ , the zeros of the polynomial $_{2} F_{1} [\begin{matrix} - n, α n + 1 \\ α n + 2 \end{matrix}; z]$ cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999–2001) to the case of a complex parameter $α$ and partially proves a conjecture made by the authors in an earlier work.

Zur Theorie der Euler'schen Integrale

Pochhammer (1890)

Mathematische Annalen

$π$ and some other constants.

Sofo, Anthony (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Гипергеометрические функции двух переменных Аппеля и Кампе де Ферье

В.А. Голубева (1979)

Sibirskij matematiceskij zurnal

Гипергеометрические функции, связанные с грассманианом $G_{3, 6}$

И.М. Гельфанд, М.И. Граев (1989)

Matematiceskij sbornik

Об одном новом подходе к теории специальных функций

А.Ф. Никифоров, В.Б. Уваров (1975)

Matematiceskij sbornik

Равномерные асимптотические разложения функций, связанных с параболоидом вращения

Н.С. Григoрьева (1972)

Zapiski naucnych seminarov Leningradskogo

Currently displaying 161 – 167 of 167

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