### On finite summation, recurrence relations and identities of H-functions

P. Anandani (1969)

Annales Polonici Mathematici

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P. Anandani (1969)

Annales Polonici Mathematici

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M. Shah (1971)

Matematički Vesnik

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Ferdinand Šamonil (1933)

Aktuárské vědy

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A. Pain (1970)

Matematički Vesnik

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Harold Exton (1996)

Collectanea Mathematica

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Four-term recurrence relations for hypergeometric functions of the second order are deduced from generating functions involving elementary functions. Generalisations are indicated and an example is given of a five-term recurrence for the confluent hypergeometric function.

M. L. Maheshwari (1969)

Matematički Vesnik

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P. Anandani (1969)

Annales Polonici Mathematici

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V.L. Deshpande (1974)

Publications de l'Institut Mathématique

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Ekhad, Shalosh B., Mohammed, Mohamud (2003)

Integers

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Pinthira Tangsupphathawat, Narong Punnim, Vichian Laohakosol (2012)

Colloquium Mathematicae

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The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.

S. D. Bajpai (1970)

Matematički Vesnik

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Michael Boshernitzan, Eli Glasner (2009)

Fundamenta Mathematicae

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We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.

M. Miličić (1978)

Publications de l'Institut Mathématique

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