ΜΕΛΕΤΗ ΤΩΝ ΡΙΖΩΝ ΜΙΚΤΩΝ ΣΥΝΑΡΤΗΣΕΩΝ BESSEL

WE STUDY THE EXISTENCE OR NOT OF THE COMPLEX AND REAL ZEROS OF MIXED BESSEL FUNCTIONS, MV(Z)=F(Z)JV(Z)+G(Z)JV'(Z), OF FIRST KIND AND ORDER V (IN GENERAL COMPLEX). THE MULTIPLICITY OF THE ZEROS OF THE DERIVATIVES OF BESSEL FUNCTIONS JV(S)(Z), S=1,2,3,4 IS ALSO EXAMINED. FOR THE FUNCTION JV''(Z), WHICH IS A SPECIAL CASE OF THE FUNCTION MV(Z), WE GIVE UPPER AND LOWER BOUNDS FOR THE FIRST POSITIVE ZERO OF IT. WE ALSO OBTAIN THE DIFFERENTIAL EQUATION WHICH SATISFY THE ZEROS OF THE FUNCTION MV(Z) AND WE STUDY THE MONOTONICITY OF THE POSITIVE ZEROS OF THAT FUNCTION, AS WELL AS THE POSITIVE FUNCTION R(V) OF THE IMAGINARY ZEROS +IR(V) OF THE FUNCTION JV'(Z).

Grantor dc:publisher

University of Patras

Year dc:date

1989

Authors dc:creator

• Kokologiannaki, Chrysi
• Κοκολογιαννάκη-Κωνσταντοπούλου, Χρυσή

• ΑΥΤΟΣΥΖΥΓΕΙΣ, ΣΥΜΠΑΓΕΙΣ ΤΕΛΕΣΤΕΣ
• Μαθηματικά
• ΜΙΚΤΕΣ ΣΥΝΑΡΤΗΣΕΙΣ BESSEL
• Ρίζες
• ΣΥΝΑΡΤΗΣΕΙΣ, ΔΙΑΦΟΡΙΚΕΣ ΕΞΙΣΩΣΕΙΣ
• FUNCTIONS, DIFFERENTIAL EQUATIONS
• Mathematics
• MIXED BESSEL FUNCTIONS
• SELFADJOINT, COMPACT OPERATORS
• Zeros
• Φυσικές Επιστήμες
• Natural Sciences

Language dc:language

gre

Identifier

10.12681/eadd/1179

OAI identifier oai:identifier

oai:10442/1179