@book{MTMT:1353029, title = {Generalized Bessel functions of the first kind}, url = {https://m2.mtmt.hu/api/publication/1353029}, isbn = {9783642122293}, author = {Baricz, Árpád}, doi = {10.1007/978-3-642-12230-9}, publisher = {Springer Netherlands}, unique-id = {1353029}, abstract = {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.}, year = {2010} } @article{MTMT:1370063, title = {Starlikeness and convexity of generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1370063}, author = {Baricz, Árpád and Ponnusamy, Saminathan}, doi = {10.1080/10652460903516736}, journal-iso = {INTEGR TRANSF SPEC F}, journal = {INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS}, volume = {21}, unique-id = {1370063}, issn = {1065-2469}, abstract = {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.}, year = {2010}, eissn = {1476-8291}, pages = {641-653} } @article{MTMT:1353021, title = {Geometric properties of generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1353021}, author = {Baricz, Árpád}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {73}, unique-id = {1353021}, issn = {0033-3883}, year = {2008}, eissn = {2064-2849}, pages = {155-178} } @article{MTMT:1416250, title = {Bessel transforms and Hardy space of generalized Bessel functions}, url = {https://m2.mtmt.hu/api/publication/1416250}, author = {Baricz, Árpád}, journal-iso = {MATH (CLUJ)}, journal = {MATHEMATICA}, volume = {48}, unique-id = {1416250}, issn = {1222-9016}, year = {2006}, eissn = {2601-744X}, pages = {127-136} }