کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616825 1339360 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A class of index transforms generated by the Mellin and Laplace operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A class of index transforms generated by the Mellin and Laplace operators
چکیده انگلیسی
Classical integral representation of the Mellin type kernel x−z=1Γ(z)∫0∞e−xttz−1dt,x>0,Re z>0, in terms of the Laplace integral gives an idea to construct a class of non-convolution (index) transforms with the kernel kz±(x)=∫0∞e−xt±1r(t)tz−1dt,x>0, where r(t)≠0,t∈R+ admits a power series expansion, which has an infinite radius of convergence and the integral converges absolutely in a half-plane of the complex plane z. Particular examples give the Kontorovich-Lebedev-like transformation and new transformations with hypergeometric functions as kernels. Mapping properties and inversion formulas are obtained. Finally we prove a new inversion theorem for the modified Kontorovich-Lebedev transform.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 403, Issue 2, 15 July 2013, Pages 333-343
نویسندگان
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