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Khabibullin's conjecture on integral inequalities

Index Khabibullin's conjecture on integral inequalities

In mathematics, Khabibullin's conjecture, named after B. N. Khabibullin, is related to Paley's problem for plurisubharmonic functions and to various extremal problems in the theory of entire functions of several variables. [1]

5 relations: Beta function, Entire function, Monotonic function, Plurisubharmonic function, Raymond Paley.

Beta function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for.

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Entire function

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic at all finite points over the whole complex plane.

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Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

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Plurisubharmonic function

In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis.

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Raymond Paley

Raymond Edward Alan Christopher Paley (7 January 1907 – 7 April 1933) was an English mathematician.

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Redirects here:

Khabibullin’s conjecture on integral inequalities.

References

[1] https://en.wikipedia.org/wiki/Khabibullin's_conjecture_on_integral_inequalities

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