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  - Functional inequalities involving special functions. II.
JF  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
J2  - J MATH ANAL APPL
VL  - 327
PY  - 2007
IS  - 2
SP  - 1202
EP  - 1213
PG  - 12
SN  - 0022-247X
DO  - 10.1016/j.jmaa.2006.05.006
UR  - https://m2.mtmt.hu/api/publication/1353027
ID  - 1353027
AB  - This paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove a chain of inequalities for hypergeometric functions, generalized and normalized Bessel functions, Kummer functions and for some general power series. Some particular cases and refinements are given.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
TI  - Some inequalities involving generalized Bessel functions
JF  - MATHEMATICAL INEQUALITIES & APPLICATIONS
J2  - MATH INEQUAL APPL
VL  - 10
PY  - 2007
IS  - 4
SP  - 827
EP  - 842
PG  - 16
SN  - 1331-4343
UR  - https://m2.mtmt.hu/api/publication/1353028
ID  - 1353028
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Baricz, Árpád
TI  - Functional inequalities involving special functions
JF  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
J2  - J MATH ANAL APPL
VL  - 319
PY  - 2006
IS  - 2
SP  - 450
EP  - 459
PG  - 10
SN  - 0022-247X
DO  - 10.1016/j.jmaa.2005.06.052
UR  - https://m2.mtmt.hu/api/publication/1353026
ID  - 1353026
LA  - English
DB  - MTMT
ER  -