"Could you please recommend research papers" - This part of the statement is a polite request. It's asking for suggestions or references to specific research papers."that thoroughly and rigorously explain" - Here, you're looking for research papers that go beyond a surface-level explanation. You want papers that provide a deep and comprehensive understanding of the topic. "Thoroughly" means covering all relevant aspects, and "rigorously" implies a high level of precision and accuracy in the explanation."the mathematical basis of entropy and information functions?" - This part specifies the subject matter you're interested in. You're seeking research papers that focus on the mathematical foundation of two concepts: entropy and information functions. Entropy: In information theory, entropy represents the measure of uncertainty or randomness in a system. It's often used in various fields, including physics, engineering, and data science. Information Functions: This likely refers to functions related to information theory, which can include concepts like mutual information, conditional entropy, or other measures used to quantify information content in data or communication systems.