On logarithmic densities of a positive sequence

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Doklady Bashkirskogo Universiteta. 2020. Volume 5. No. 2. pp. 82-87.

Authors

Kuzhaev A. F.*
Bashkir State University; Ufa State Petroleum Technological University
32 Zaki Validi Street, 450076 Ufa, Republic of Bashkortostan, Russia; 1 Kosmonavtov Street, 450062 Ufa, Republic of Bashkortostan, Russia

Abstract

It is known that estimates for the growth of exponential type entire functions are closely related to the numerical characteristics of the sequence of zeros of these functions, in particular, with their different densities. Therefore, the study of relationships between densities is of particular interest. This paper mainly examines the relationship of the upper and lower logarithmic density with the densities previously considered by the author in previous works (lower, upper, lower and upper logarithmic block density).

Keywords

  • logarithmic density
  • logarithmic block density
  • upper density
  • lower density
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