Author: Juhani Riihentaus

Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties

eBook: US $69 Special Offer (PDF + Printed Copy): US $83
Printed Copy: US $117
Library License: US $276
ISBN: 978-981-14-9868-8 (Print)
ISBN: 978-981-14-9870-1 (Online)
Year of Publication: 2021
DOI: 10.2174/97898114987011210101


This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.


Juhani Riihentaus
Department of Mathematical Sciences University of Oulu
P.O. Box 3000 FI-90014 Oulun yliopisto
Department of Physics and Mathematics
University of Eastern Finland P.O. Box 111
FI-80101 Joensuu


.An Introduction to Sobolev Spaces.
.Exterior Calculus: Theory and Cases.
.Trefftz and Fundamental Solution-Based Finite Element Methods.
.The Generalized Relative Gol’dberg Order and Type: Some Remarks on Functions of Complex Variables.