A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms

A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced. Its properties and applications to solving a system of integral equations are considered.

On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin

Mathematics Subject Classification: 44A05, 46F12, 28A78

Convolution Products in L1(R+), Integral Transforms and Fractional Calculus

Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15

On q-Laplace Transforms of the q-Bessel Functions

Mathematics Subject Classification: 33D15, 44A10, 44A20

Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets

Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60

Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations

Mathematics Subject Classification: 44A05, 44A35

Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation

Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.

Fractional Calculus of P-transforms

MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99

Generalized Fractional Calculus, Special Functions and Integral Transforms: What is the Relation?

Виржиния С. Кирякова - В този обзор илюстрираме накратко наши приноси към обобщенията на дробното смятане (анализ) като теория на операторите за интегриране и диференциране от произволен (дробен) ред, на класическите специални функции и на интегралните трансформации от лапласов тип. Показано е, че тези три области на анализа са тясно свързани и взаимно индуцират своето възникване и по-нататъшно развитие. За конкретните твърдения, доказателства и примери, вж. Литературата.

Equivalence Between K-functionals Based on Continuous Linear Transforms

2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.

SO(2,1)-Invariant Double Integral Transforms and Formulas for the Whittaker Functions

MSC 2010: 33C15, 33C05, 33C45, 65R10, 20C40

On Some Generalizations of Classical Integral Transforms

MSC 2010: 44A15, 44A20, 33C60

The Engaged University: Providing a Platform for Research That Transforms Society

Despite a growing recognition that the solutions to current environmental problems will be developed through collaborations between scientists and stakeholders, substantial challenges stifle such cooperation and slow the transfer of knowledge. Challenges occur at several levels, including individual, disciplinary, and institutional. All of these have implications for scholars working at academic and research institutions. Fortunately, creative ideas and tested models exist that provide opportunities for conversation and serious consideration about how such institutions can facilitate the dialogue between scientists and society

The Hippo effector TAZ (WWTR1) transforms myoblasts and its abundance is associated with reduced survival in embryonal rhabdomyosarcoma

Acknowledgements This study was funded by Sarcoma UK, Friends of Anchor and the Medical Research Council grant number 99477 awarded to HW and PSZ. This work was also supported, in part, by NHS funding to the NIHR Biomedical Research Centre at The Royal Marsden and the Institute of Cancer Research, and the Chris Lucas Trust, UK. We also thank the CCLG Tissue Bank for access to samples, and contributing CCLG centres, including members of the ECMC paediatric network. The CCLG Tissue Bank is funded by Cancer Research UK and CCLG. In addition we would like to thank Prof KunLiang Guan and Prof Malcolm Logan for kindly providing constructs

The Hippo effector TAZ (WWTR1) transforms myoblasts and TAZ abundance is associated with reduced survival in embryonal rhabdomyosarcoma

Acknowledgements This study was funded by Sarcoma UK, Friends of Anchor and the Medical Research Council grant number 99477 awarded to HW and PSZ. This work was also supported, in part, by NHS funding to the NIHR Biomedical Research Centre at The Royal Marsden and the Institute of Cancer Research, and the Chris Lucas Trust, UK. We also thank the CCLG Tissue Bank for access to samples, and contributing CCLG centres, including members of the ECMC paediatric network. The CCLG Tissue Bank is funded by Cancer Research UK and CCLG. In addition we would like to thank Prof KunLiang Guan and Prof Malcolm Logan for kindly providing constructs