Applied Pseudoanalytic Function Theory (Frontiers in by Vladislav V. Kravchenko

By Vladislav V. Kravchenko

Pseudoanalytic functionality idea generalizes and preserves many an important positive factors of complicated analytic functionality concept. The Cauchy-Riemann process is changed by way of a way more normal first-order process with variable coefficients which seems to be heavily with regards to vital equations of mathematical physics. This relation offers robust instruments for learning and fixing Schrödinger, Dirac, Maxwell, Klein-Gordon and different equations using complex-analytic methods.

The publication is devoted to those fresh advancements in pseudoanalytic functionality thought and their functions in addition to to multidimensional generalizations.

It is directed to undergraduates, graduate scholars and researchers attracted to complex-analytic tools, answer recommendations for equations of mathematical physics, partial and usual differential equations.

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