1969
DOI: 10.1007/bf01085943
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Affine transformations of p-analytic and (p, q)-analytic functions of a complex variable

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Cited by 3 publications
(3 citation statements)
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“…E. T. Whittaker and G. N. Watson [19], H. Bateman [20], P. Henrici [21], A. G. Mackie [22], Yu. P. Krivenkov [23], N. R. Radzhabov [24], G. N. Polozhii [25], G. N. Polozhii and A.F. Ulitko [26], A.A. Kapshivyi [27], A.…”
Section: Some Special Methods For Solving Boundary Value Problems For...mentioning
confidence: 99%
“…E. T. Whittaker and G. N. Watson [19], H. Bateman [20], P. Henrici [21], A. G. Mackie [22], Yu. P. Krivenkov [23], N. R. Radzhabov [24], G. N. Polozhii [25], G. N. Polozhii and A.F. Ulitko [26], A.A. Kapshivyi [27], A.…”
Section: Some Special Methods For Solving Boundary Value Problems For...mentioning
confidence: 99%
“…The main properties of such functions are studied, an integral representation of q = x k -analytic functions is obtained, and an inversion formula is constructed. Somewhat later G. Polozhii generalized the concept of a p-analytic function and introduced (p, q)-analytic functions defined by the system of equations pu x + qu y ´vy = 0, ´qu x + pu y + v x = 0, where p and q are some given functions of x, y, and p(x, y) ą 0 [18,19]. Moreover, (p, q)-analytic functions can be defined in another way.…”
Section: Generalizations Of Analytical Functions Theory Of a Complex ...mentioning
confidence: 99%
“…In [11], we established an integral expression of generalized axialsymmetric potential that is a generalization of integral expressions obtained by A. G. Mackie [39], P. Henrici [23], Yu. P. Krivenkov [33] and G. N. Polozhii [73].…”
Section: An Infinite-dimensional Vector Space Associated With Axial-s...mentioning
confidence: 99%