By Vibha Madaan and others

Sufficient conditions on associated parameters *p,b* and *c* are obtained so that the generalized and \textquotedblleft{normalized}\textquotedblright{} Bessel function *u_p(z)=u_{p,b,c}(z)* satisfies *|(1+(zu''_p(z)/u'_p(z)))^2-1|<1* or *|((zu_p(z))'/u_p(z))^2-1|<1*. We also determine the condition on these parameters so that *-(4(p+(b+1)/2)/c)u'_p(z)\prec\sqrt{1+z}*. Relations between the parameters *\mu* and *p* are obtained such that the normalized Lommel function of... Show more

February 12, 2019

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Lemniscate Convexity and Other Properties of Generalized Bessel Functions

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