2019
Том 71
№ 2

All Issues

Polozhii G. N.

Articles: 7
Article (Russian)

Vladimir Nikolaevich Koshlyakov (On His 80th Birthday)

Lukovsky I. O., Mitropolskiy Yu. A., Polozhii G. N., Samoilenko A. M.

Full text (.pdf)

Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1587-1588

Article (Ukrainian)

Affine transformations of p-analytic and (p, q)-analytic functions of a complex variable

Polozhii G. N.

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Ukr. Mat. Zh. - 1968. - 20, № 3. - pp. 325–339

Article (Russian)

On limiting values and reversion formula along the sections of the basic integral representation of $p$-analytical functions with characteristic $p = x^k$. II

Polozhii G. N.

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Ukr. Mat. Zh. - 1965. - 17, № 2. - pp. 61-87

Article (Russian)

On limiting values and conversion formulae along sections of the basic integral representations of $p$-analytical functions with characteristic $p = x^k$. I

Polozhii G. N.

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Ukr. Mat. Zh. - 1964. - 16, № 5. - pp. 631-656

Brief Communications (Russian)

On thè basic integral representation of $p$-analytical functions with characteristic $p = x$

Polozhii G. N.

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Ukr. Mat. Zh. - 1964. - 16, № 2. - pp. 254-259

Article (Russian)

On boundary problems of the axisymmetrical theory of elasticity. Method of $p$-analytical functions of a complex variable

Polozhii G. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1963. - 15, № 1. - pp. 25-45

A new method is presented for solving axisymmetrical problems of the theory of elasticity, based on the application of $p$-analytical functions of a complex variable. An integral transformation of axisymmetrical stressed states into plane stressed states is constructed.

Article (Russian)

On a New Method of a Numerical Solution of Boundary Problems for Elliptical Differential Equations

Polozhii G. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1960. - 12, № 3. - pp. 308 - 323

The author proposes an effective method of solving boundary problems for equations with partial finite differences corresponding to the two-dimensional and three-dimensional problems of mathematical physics. The essence of the method consists in finding solutions in explicit form or in the form of formulae with a small number of parameters determined from a corresponding small number of algebraic equations. For partial differential equations of the second order with constant coefficients this is attained in the two-dimensional case (24) and in the three-dimensional case (50) by means of the formulae established by the author (9) and (81) respectively.