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Radii of Starlikeness and Convexity of Bessel Functions
Vibha Madaan, Ajay Kumar, V. Ravichandran
The radii of starlikeness and convexity associated with lemniscate of Bernoulli and the Janowski function, for , have been determined for normaliz…
Regularity, Rees algebra and Betti numbers of certain cover ideals
Ajay Kumar, Rajiv Kumar
Let be a polynomial ring, where is a field. This article deals with the defining ideal of the Rees algebra of squarefree monomial ideal genera…
Lemniscate Convexity and Other Properties of Generalized Bessel Functions
Vibha Madaan, Ajay Kumar, V. Ravichandran
Sufficient conditions on associated parameters and are obtained so that the generalized and \textquotedblleft{normalized}\textquotedblright{} Bessel function $u_p(z)=u_{p…
Uncertainty principles on nilpotent Lie groups
Jyoti Sharma, Ajay Kumar
Hardy's type uncertainty principle on connected nilpotent Lie groups for the Fourier transform is proved. An analogue of Hardy's theorem for Gabor transform has been established fo…
Continuous abstract wavelet transform on homogeneous space
Jyoti Sharma, Ajay Kumar
The support of wavelet transform associated with square integrable irreducible representation of a homogeneous space is shown to have infinite measure. Pointwise homogeneous approx…