Lloyd Llena Villanueva

📍 Göteborg, Sweden

🎓 Trieste, Italy

🏠 Manila, Philippines

Mabuhay! I am Lloydie from the Philippines.

I am a PhD student at Chalmers University of Technology, under the supervision of Professor Luisa Ickes. The goal of my research is to improve the representation of Arctic clouds in climate models.

Through the postgraduate diploma programme (a highly recommended program!!!) at The Abdus Salam International Centre for Theoretical Physics, I was introduced to the field of atmospheric science and trained by notable scientists of Earth System Physics. I was fortunate to work with Professor Adrian Tompkins, where we characterized cold pools formed over land and ocean using weather station data, specifically the ARM – Tropical Western Pacific dataset.

Before diving into this field, I was trained in Mathematical Physics under the supervision of Professor Eric Galapon in his QuantMath Subgroup, where we elaborated on the method of finite-part integration and extended its applicability.

Besides research, I enjoy freediving 🤿, watching films 🍿, and photography 📷. So if I'm not in school or the lab, I'm probably in the ocean freediving, in my room or at the cinema watching movies, or out walking around taking photos of what I want you to see.

If you're more interested in my detailed experience, have a look at my CV.

(Last edited: 22 November 2024)

Barobo

Barobo, Surigao Del Sur (my friend's hometown)

news

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publications

Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration

Lloyd L. Villanueva, and Eric A. Galapon

Journal of Mathematical Physics, Apr 2021

Abs

Finite-part integration is a recently introduced method of evaluating convergent integrals by means of the finite-part of divergent integrals [E. A. Galapon, Proc. R. Soc., A 473, 20160567 (2017)]. Current application of the method involves exact and asymptotic evaluation of the generalized Stieltjes transform ∫0af(x)/(ω+x)ρdx under the assumption that the extension of f(x) in the complex plane is entire. In this paper, the method is elaborated further and extended to accommodate the presence of competing singularities of the complex extension of f(x). Finite-part integration is then applied to derive consequences of known Stieltjes integral representations of the Gauss function and the generalized hypergeometric function that involve Stieltjes transforms of functions with complex extensions having singularities in the complex plane. Transformation equations for the Gauss function are obtained from which known transformation equations are shown to follow. In addition, building on the results for the Gauss function, transformation equations involving the generalized hypergeometric function 3F2 are derived.