TY  - BOOK
AU  - Baricz, Árpád
TI  - Generalized Bessel functions of the first kind
T3  - Lecture Notes in Mathematics, ISSN 0075-8434
ET  - 0
PB  - Springer Netherlands
CY  - Berlin
CY  - Heidelberg
PY  - 2010
SP  - 200
SN  - 9783642122293
DO  - 10.1007/978-3-642-12230-9
UR  - https://m2.mtmt.hu/api/publication/1353029
ID  - 1353029
AB  - In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. Moreover, we extend many known inequalities involving circular and hyperbolic functions to Bessel and modified Bessel functions.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
AU  - Ponnusamy, Saminathan
TI  - Starlikeness and convexity of generalized Bessel functions
JF  - INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
J2  - INTEGR TRANSF SPEC F
VL  - 21
PY  - 2010
IS  - 9
SP  - 641
EP  - 653
PG  - 13
SN  - 1065-2469
DO  - 10.1080/10652460903516736
UR  - https://m2.mtmt.hu/api/publication/1370063
ID  - 1370063
AB  - In this paper, we give sufficient conditions for the parameters of the normalized form of the generalized
Bessel functions to be convex and starlike in the open unit disk. As an application of our main results,
we solve a recent open problem concerning a subordination property of Bessel functions with different
parameters. Moreover, we present a new inequality for the Euler gamma function, which we apply in order
to have tight bounds for the generalized and normalized Bessel function of the first kind.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
TI  - Geometric properties of generalized Bessel functions
JF  - PUBLICATIONES MATHEMATICAE DEBRECEN
J2  - PUBL MATH DEBRECEN
VL  - 73
PY  - 2008
IS  - 1-2
SP  - 155
EP  - 178
PG  - 24
SN  - 0033-3883
UR  - https://m2.mtmt.hu/api/publication/1353021
ID  - 1353021
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
TI  - Bessel transforms and Hardy space of generalized Bessel functions
JF  - MATHEMATICA
J2  - MATH (CLUJ)
VL  - 48
PY  - 2006
IS  - 2
SP  - 127
EP  - 136
PG  - 10
SN  - 1222-9016
UR  - https://m2.mtmt.hu/api/publication/1416250
ID  - 1416250
LA  - English
DB  - MTMT
ER  -